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Finding the Fourth Proportional to 3,098.52, 4,644 and 2,371.14

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Solution

The fourth proportional to 3,098.52, 4,644 and 2,371.14 is: 3,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.52 : 4,644 = 2,371.14 : x
  2. Step 2: Convert to fraction form
    3,098.52/4,644 = 2,371.14/x
  3. Step 3: Cross multiply
    3,098.52x = 4,644 × 2,371.14
  4. Step 4: Simplify right side
    3,098.52x = 11,011,574.16
  5. Step 5: Solve for x
    x = 11,011,574.16/3,098.52
  6. Step 6: Final answer
    x = 3,553.82

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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.