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Finding the Fourth Proportional to 3,963.92, 5,470.19 and 2,285.31

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Solution

The fourth proportional to 3,963.92, 5,470.19 and 2,285.31 is: 3,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.92 : 5,470.19 = 2,285.31 : x
  2. Step 2: Convert to fraction form
    3,963.92/5,470.19 = 2,285.31/x
  3. Step 3: Cross multiply
    3,963.92x = 5,470.19 × 2,285.31
  4. Step 4: Simplify right side
    3,963.92x = 12,501,079.91
  5. Step 5: Solve for x
    x = 12,501,079.91/3,963.92
  6. Step 6: Final answer
    x = 3,153.72

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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.