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Finding the Fourth Proportional to 5,471.48, 7,550.63 and 3,234.16

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Solution

The fourth proportional to 5,471.48, 7,550.63 and 3,234.16 is: 4,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.48 : 7,550.63 = 3,234.16 : x
  2. Step 2: Convert to fraction form
    5,471.48/7,550.63 = 3,234.16/x
  3. Step 3: Cross multiply
    5,471.48x = 7,550.63 × 3,234.16
  4. Step 4: Simplify right side
    5,471.48x = 24,419,945.52
  5. Step 5: Solve for x
    x = 24,419,945.52/5,471.48
  6. Step 6: Final answer
    x = 4,463.13

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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.