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Finding the Fourth Proportional to 5,142.78, 7,711.20 and 4,527.72

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Solution

The fourth proportional to 5,142.78, 7,711.20 and 4,527.72 is: 6,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.78 : 7,711.20 = 4,527.72 : x
  2. Step 2: Convert to fraction form
    5,142.78/7,711.20 = 4,527.72/x
  3. Step 3: Cross multiply
    5,142.78x = 7,711.20 × 4,527.72
  4. Step 4: Simplify right side
    5,142.78x = 34,914,154.46
  5. Step 5: Solve for x
    x = 34,914,154.46/5,142.78
  6. Step 6: Final answer
    x = 6,788.97

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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.