NEW YORK — At 7:03 of overtime Thursday night, former Boston College star Chris Kreider extended the Rangers’ season.

After the Rangers won a defensive-zone faceoff, they raced away on the attack. Rick Nash fed Kreider going to the net. The Boxford, Mass., native tipped the puck past Tuukka Rask to give the Rangers a 4-3 win.

Game 5 is Saturday at TD Garden.

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The Bruins had a pair of one-goal leads in the third period of Game 4. But the Rangers fought back both times to send the game into overtime tied at 3-3.

The Bruins, up 2-1 in the third, saw their lead vanish after a weak play by Zdeno Chara. The captain went behind the net for a puck that Rask had settled. As Chara tried to start the breakout, Derek Stepan stripped him of the puck and jammed it into the net at 1:15.

The Bruins pulled back ahead when Tyler Seguin scored a power-play goal at 8:06. But after the Bruins were nabbed for too many men, the Rangers punched back with a power-play goal. Brian Boyle snapped a shot from the slot past Rask at 10:00 to make it 3-3.

After two periods, the Bruins led, 2-1. They scored two straight goals in the second period for a 2-0 lead, but a rare Rask flub led to New York’s first goal.

The Rangers scored after Derick Brassard chipped a puck ahead to Carl Hagelin. Johnny Boychuk was positioned between Hagelin and the goal. Hagelin flipped a backhander that deflected off Boychuk.

As Rask tried to reposition himself to play the deflection, the goalie tumbled to the ice. Before Rask could put his paddle down on the ice to stop the puck, Hagelin’s shot rolled over the line at 8:39.

The goal gave the Rangers life to close out the second. They poured on the pressure, but Rask kept his net clear of any more offending pucks.

Hagelin’s fortunate goal took place less than a minute after the Bruins had doubled their lead with their second power-play strike of the night.

At 6:04, Michael Del Zotto was sent off for interference. On the power play, Dougie Hamilton tried to hit Nathan Horton in front for a redirect past Rangers goalie Henrik Lundqvist. The two didn’t connect, but the Bruins gained control of the puck.

Seguin picked the puck off the left wall and fed Torey Krug at the point. Before the Rangers could close down the shooting lane, Krug blasted the puck past Lundqvist at 7:41 to make it 2-0. It was Krug’s third goal in four playoff games.

The Bruins scored earlier in the second after an ill-advised penalty by Kris Newbury. The fourth-liner barreled over Rask and was called for goaltender interference at 3:09.

On the power play, the No. 2 unit gained the zone. Horton tried to hit David Krejci in front. Del Zotto busted up the play, but the puck landed back on Horton’s blade. Before Lundqvist could recover, Horton slipped a sharp-angle shot between the goalie’s pads at 4:39.

On the following faceoff, Newbury tried to draw Shawn Thornton into a fight, but Thornton kept his gloves on.

Later in the second, Brassard shed his mitts to get a piece of Brad Marchand. Marchand didn’t oblige and play continued. As Brassard picked up his gloves and stick, Marchand curled into the slot for a scoring chance.

Neither team scored in the first period. The Bruins held a 12-4 shot advantage after 20 minutes. The No. 2 line of Marchand, Patrice Bergeron, and Jaromir Jagr had some good scoring chances in front of the net. On one sequence, Jagr carried the puck into the offensive zone and fed Marchand in front. Marchand had an open net, but he couldn’t settle Jagr’s dish.

Both teams had power plays in the first. Rangers defenseman Roman Hamrlik, making his series debut, sent the puck into the stands at 1:43. The Bruins put four power-play pucks on Lundqvist. The Bruins didn’t have a single power play in Game 3.

The Bruins went on the penalty kill at 12:42 when Matt Bartkowski was caught for slashing Ryan Callahan. The New York captain appeared to throw a punch at Bartkowski’s head before the slash. The Rangers, scoreless on the power play through the first three games, didn’t get any good looks on Rask.

The Rangers overhauled their lineup for Game 4. Hamrlik replaced defenseman Anton Stralman, who suffered an undisclosed injury in Game 3, and was with Steve Eminger on the No. 3 pairing.

Up front, fourth-liners Brad Richards and Arron Asham were healthy scratches. Newbury and Micheal Haley, who had not dressed for the first three games, replaced Richards and Asham. Derek Dorsett, a third-line right wing for the first three games, was moved to the fourth line. Kreider moved up to the first line to play alongside Brassard and Nash.

The only line that remained intact was the Rangers’ second unit of Callahan, Hagelin, and Derek Stepan.