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Finding the Fourth Proportional to 3,997.71, 5,515.17 and 2,382.28

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Solution

The fourth proportional to 3,997.71, 5,515.17 and 2,382.28 is: 3,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.71 : 5,515.17 = 2,382.28 : x
  2. Step 2: Convert to fraction form
    3,997.71/5,515.17 = 2,382.28/x
  3. Step 3: Cross multiply
    3,997.71x = 5,515.17 × 2,382.28
  4. Step 4: Simplify right side
    3,997.71x = 13,138,679.19
  5. Step 5: Solve for x
    x = 13,138,679.19/3,997.71
  6. Step 6: Final answer
    x = 3,286.55

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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.