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Finding the Fourth Proportional to 5,454.72, 8,161.20 and 5,440.80

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Solution

The fourth proportional to 5,454.72, 8,161.20 and 5,440.80 is: 8,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.72 : 8,161.20 = 5,440.80 : x
  2. Step 2: Convert to fraction form
    5,454.72/8,161.20 = 5,440.80/x
  3. Step 3: Cross multiply
    5,454.72x = 8,161.20 × 5,440.80
  4. Step 4: Simplify right side
    5,454.72x = 44,403,456.96
  5. Step 5: Solve for x
    x = 44,403,456.96/5,454.72
  6. Step 6: Final answer
    x = 8,140.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.