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Finding the Fourth Proportional to 5,424.60, 8,132.04 and 2,824.56

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Solution

The fourth proportional to 5,424.60, 8,132.04 and 2,824.56 is: 4,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.60 : 8,132.04 = 2,824.56 : x
  2. Step 2: Convert to fraction form
    5,424.60/8,132.04 = 2,824.56/x
  3. Step 3: Cross multiply
    5,424.60x = 8,132.04 × 2,824.56
  4. Step 4: Simplify right side
    5,424.60x = 22,969,434.90
  5. Step 5: Solve for x
    x = 22,969,434.90/5,424.60
  6. Step 6: Final answer
    x = 4,234.31

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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.