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Finding the Fourth Proportional to 3,275.75, 4,912.86 and 935.70

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Solution

The fourth proportional to 3,275.75, 4,912.86 and 935.70 is: 1,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.75 : 4,912.86 = 935.70 : x
  2. Step 2: Convert to fraction form
    3,275.75/4,912.86 = 935.70/x
  3. Step 3: Cross multiply
    3,275.75x = 4,912.86 × 935.70
  4. Step 4: Simplify right side
    3,275.75x = 4,596,963.10
  5. Step 5: Solve for x
    x = 4,596,963.10/3,275.75
  6. Step 6: Final answer
    x = 1,403.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.