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Finding the Fourth Proportional to 3,127.87, 4,691.80 and 2,542.16

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Solution

The fourth proportional to 3,127.87, 4,691.80 and 2,542.16 is: 3,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.87 : 4,691.80 = 2,542.16 : x
  2. Step 2: Convert to fraction form
    3,127.87/4,691.80 = 2,542.16/x
  3. Step 3: Cross multiply
    3,127.87x = 4,691.80 × 2,542.16
  4. Step 4: Simplify right side
    3,127.87x = 11,927,300.85
  5. Step 5: Solve for x
    x = 11,927,300.85/3,127.87
  6. Step 6: Final answer
    x = 3,813.24

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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.