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Finding the Fourth Proportional to 3,532.72, 5,299.08 and 935.56

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Solution

The fourth proportional to 3,532.72, 5,299.08 and 935.56 is: 1,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.72 : 5,299.08 = 935.56 : x
  2. Step 2: Convert to fraction form
    3,532.72/5,299.08 = 935.56/x
  3. Step 3: Cross multiply
    3,532.72x = 5,299.08 × 935.56
  4. Step 4: Simplify right side
    3,532.72x = 4,957,607.28
  5. Step 5: Solve for x
    x = 4,957,607.28/3,532.72
  6. Step 6: Final answer
    x = 1,403.34

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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.