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Finding the Fourth Proportional to 5,639.52, 7,781.46 and 3,515.60

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Solution

The fourth proportional to 5,639.52, 7,781.46 and 3,515.60 is: 4,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.52 : 7,781.46 = 3,515.60 : x
  2. Step 2: Convert to fraction form
    5,639.52/7,781.46 = 3,515.60/x
  3. Step 3: Cross multiply
    5,639.52x = 7,781.46 × 3,515.60
  4. Step 4: Simplify right side
    5,639.52x = 27,356,500.78
  5. Step 5: Solve for x
    x = 27,356,500.78/5,639.52
  6. Step 6: Final answer
    x = 4,850.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.