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Finding the Fourth Proportional to 5,424.66, 8,149.95 and 3,480.66

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Solution

The fourth proportional to 5,424.66, 8,149.95 and 3,480.66 is: 5,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.66 : 8,149.95 = 3,480.66 : x
  2. Step 2: Convert to fraction form
    5,424.66/8,149.95 = 3,480.66/x
  3. Step 3: Cross multiply
    5,424.66x = 8,149.95 × 3,480.66
  4. Step 4: Simplify right side
    5,424.66x = 28,367,204.97
  5. Step 5: Solve for x
    x = 28,367,204.97/5,424.66
  6. Step 6: Final answer
    x = 5,229.31

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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.