Ramsey refused to be downbeat as they will have the chance to extend the gap before Tottenham host Manchester City on Sunday.
"It's important [to get a five-point gap with a win over Fulham]," said Ramsey. "We always knew this week was going to be a big one for us.
"We're still unbeaten in a load of games and hopefully we can finish the week off strongly by getting a win against Fulham. That will put us in a strong position.
"It was important for us not to lose against Everton. We still have a lot of confidence. It didn't quite happen for us in the final third but overall we were quite solid. We're looking forward to the weekend.
"Tottenham and Chelsea (who will go above Arsenal into third with victory at Fulham tonight) still have tough games. Teams are going to drop points and we're still positive and confident that we can finish in the top four.
"We're third at the moment and Chelsea and Tottenham may feel a bit of pressure going into their games to get the three points."