Another method is to cut the ribbon to the desired size, dip it in water, run your thumb and the finger next to it through the ribbon to drain the water. then stick it to the cake. it would stick because water and sugar produces a sticky effect. I hope this works for you.
i use a pearl headed pin to secure in place while i wrap around the cake then use a blob of fondant glue fix in place then repin until dry then remove the pin (I have stupidly always worried about someone not removing the pin if i was to leave it)
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