The 23-year-old native of the Volga region received 103,200 points from the judges based on the results of four exercises.
Arina, in her final form - an exercise with clubs - allowed the object to fall.
Dina Averina (108,400) won the competition.
The silver award went to Alina Gornosko from Belarus (105,300).
Earlier it was reported that Dina Averina became the 18-time world champion in rhythmic gymnastics.