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Finding the Fourth Proportional to 5,471.64, 7,550.28 and 3,233.61

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Solution

The fourth proportional to 5,471.64, 7,550.28 and 3,233.61 is: 4,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.64 : 7,550.28 = 3,233.61 : x
  2. Step 2: Convert to fraction form
    5,471.64/7,550.28 = 3,233.61/x
  3. Step 3: Cross multiply
    5,471.64x = 7,550.28 × 3,233.61
  4. Step 4: Simplify right side
    5,471.64x = 24,414,660.91
  5. Step 5: Solve for x
    x = 24,414,660.91/5,471.64
  6. Step 6: Final answer
    x = 4,462.04

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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.