After a nervy start from the hosts, Golden Boot leader Beth Mead spun and fired home on 34 minutes to send the Bramall Lane crowd wild.
England carried their narrow lead into the second half, when defender Lucy Bronze headed in a second three minutes after the restart.
Substitute Alessia Russo's audacious backheel made it 3-0 as England took control on 68 minutes and Chelsea's Fran Kirby chipped Sweden goalkeeper Hedvig Lindahl to complete a brilliant win for England, who will face either France or Germany in Sunday's final at Wembley.
Scarborough Athletic's home National League North campaign off to a winning start against Hereford
Breidyn Schaper sparkles with the bat as Scarborough CC experience mixed weekend
Folkton & Flixton CC net sixth YPLN Championship win in a row on the road at Easingwold
RETRO SPOTLIGHT: 15 nostalgic Scarborough photos from the Scarborough News sports archives
PHOTO FOCUS - 17 photos from Scarborough CC v Sessay CC by Simon Dobson
Arsenal striker Mead now has six goals to her name in the tournament but she told BBC Sport: "It's [Golden Boot] nothing I ever thought about being close to. I'm really happy to be where I am but it's not something I'm thinking about - I just want to win with the team."