Together, the trio ran with a Swedish flag over the finish line and shouted their joy.
Sara Hagström, who had severe back problems on the middle distance on Tuesday and was unsure for a while, sent Alexandersson out in the lead with 3.39 ahead of Switzerland on the third leg.
Hagström beat Sabine Hauswirth with 4.15 on the stretch.
Bommande Alexandersson took the seventh straight World Cup gold
- It was really good, did not think I could run so well.
I analyzed the competitions here and came up with how I would run.
It was like getting a full pot on an exam, says Hagström who had a magical feeling among the cunning sandstone slopes.
Lisa Risby did a good first distance and changed as second behind Switzerland Elena Roos and was then 36 seconds behind.
- I kept it together well and took it methodically, I am very happy, says Risby after his race.