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Finding the Fourth Proportional to 3,691.29, 5,098.10 and 2,862.02

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Solution

The fourth proportional to 3,691.29, 5,098.10 and 2,862.02 is: 3,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.29 : 5,098.10 = 2,862.02 : x
  2. Step 2: Convert to fraction form
    3,691.29/5,098.10 = 2,862.02/x
  3. Step 3: Cross multiply
    3,691.29x = 5,098.10 × 2,862.02
  4. Step 4: Simplify right side
    3,691.29x = 14,590,824.36
  5. Step 5: Solve for x
    x = 14,590,824.36/3,691.29
  6. Step 6: Final answer
    x = 3,952.77

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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.