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Finding the Fourth Proportional to 3,901.92, 5,382.18 and 2,388.78

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Solution

The fourth proportional to 3,901.92, 5,382.18 and 2,388.78 is: 3,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.92 : 5,382.18 = 2,388.78 : x
  2. Step 2: Convert to fraction form
    3,901.92/5,382.18 = 2,388.78/x
  3. Step 3: Cross multiply
    3,901.92x = 5,382.18 × 2,388.78
  4. Step 4: Simplify right side
    3,901.92x = 12,856,843.94
  5. Step 5: Solve for x
    x = 12,856,843.94/3,901.92
  6. Step 6: Final answer
    x = 3,295.00

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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.