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Finding the Fourth Proportional to 3,898.29, 5,379.65 and 2,781.17

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Solution

The fourth proportional to 3,898.29, 5,379.65 and 2,781.17 is: 3,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.29 : 5,379.65 = 2,781.17 : x
  2. Step 2: Convert to fraction form
    3,898.29/5,379.65 = 2,781.17/x
  3. Step 3: Cross multiply
    3,898.29x = 5,379.65 × 2,781.17
  4. Step 4: Simplify right side
    3,898.29x = 14,961,710.99
  5. Step 5: Solve for x
    x = 14,961,710.99/3,898.29
  6. Step 6: Final answer
    x = 3,838.02

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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.