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Finding the Fourth Proportional to 3,892.43, 5,367.92 and 2,563.83

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Solution

The fourth proportional to 3,892.43, 5,367.92 and 2,563.83 is: 3,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.43 : 5,367.92 = 2,563.83 : x
  2. Step 2: Convert to fraction form
    3,892.43/5,367.92 = 2,563.83/x
  3. Step 3: Cross multiply
    3,892.43x = 5,367.92 × 2,563.83
  4. Step 4: Simplify right side
    3,892.43x = 13,762,440.74
  5. Step 5: Solve for x
    x = 13,762,440.74/3,892.43
  6. Step 6: Final answer
    x = 3,535.69

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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.