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Finding the Fourth Proportional to 5,138.55, 7,711.17 and 4,720.30

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Solution

The fourth proportional to 5,138.55, 7,711.17 and 4,720.30 is: 7,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.55 : 7,711.17 = 4,720.30 : x
  2. Step 2: Convert to fraction form
    5,138.55/7,711.17 = 4,720.30/x
  3. Step 3: Cross multiply
    5,138.55x = 7,711.17 × 4,720.30
  4. Step 4: Simplify right side
    5,138.55x = 36,399,035.75
  5. Step 5: Solve for x
    x = 36,399,035.75/5,138.55
  6. Step 6: Final answer
    x = 7,083.52

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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.