They need to win 3 more in a row. The scenario is no different. They still need to put together a stretch of 4.
Look, I'm rooting for them to do it. I really hope they do. But there's a reason why this has only happened 4 times in NHL history. I'm just keeping any "belief" down, because there's really not much hope. Let the players take it one game at a time. That's their job. Not much point in us doing it.
This has nothing to do with faith or belief for my part. It's just statistics and probability. They obviously have a better chance of winning the series now than they did four hours ago. Winning game four means they no longer need to get four consecutive wins, they "only" need three. Statistically winning game four does not make winning game five less likely (and so on).