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Finding the Fourth Proportional to 4,142.52, 5,711.49 and 2,647.98

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Solution

The fourth proportional to 4,142.52, 5,711.49 and 2,647.98 is: 3,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.52 : 5,711.49 = 2,647.98 : x
  2. Step 2: Convert to fraction form
    4,142.52/5,711.49 = 2,647.98/x
  3. Step 3: Cross multiply
    4,142.52x = 5,711.49 × 2,647.98
  4. Step 4: Simplify right side
    4,142.52x = 15,123,911.29
  5. Step 5: Solve for x
    x = 15,123,911.29/4,142.52
  6. Step 6: Final answer
    x = 3,650.90

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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.