Folding only adds numbers together, so the total never changes. Both strips add up to 54. Your largest target number, 34, must be a stack of several cells added together.
Hint 2: the length budget
The strip has 11 cells and the target has 3, so the folds together must remove 8 cells. A fold removes as many cells as its shorter side has.
Hint 3: the first fold
The first fold goes between cell 2 and cell 3, counting cells from the left.
Full solution
Show every fold
Fold 1 of 4
41574945177→6114945177
Fold between cell 2 and cell 3. The left side flips over the right side.
Fold 2 of 4
6114945177→13912137
Fold between cell 4 and cell 5. The left side flips over the right side.
Fold 3 of 4
13912137→2212137
Fold between cell 1 and cell 2. The left side flips over the right side.
Fold 4 of 4
2212137→34137
Fold between cell 1 and cell 2. The left side flips over the right side.