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Finding the Fourth Proportional to 3,863.78, 5,332.47 and 2,371.18

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Solution

The fourth proportional to 3,863.78, 5,332.47 and 2,371.18 is: 3,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.78 : 5,332.47 = 2,371.18 : x
  2. Step 2: Convert to fraction form
    3,863.78/5,332.47 = 2,371.18/x
  3. Step 3: Cross multiply
    3,863.78x = 5,332.47 × 2,371.18
  4. Step 4: Simplify right side
    3,863.78x = 12,644,219.55
  5. Step 5: Solve for x
    x = 12,644,219.55/3,863.78
  6. Step 6: Final answer
    x = 3,272.50

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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.