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Finding the Fourth Proportional to 3,498.52, 5,249.88 and 3,139.96

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Solution

The fourth proportional to 3,498.52, 5,249.88 and 3,139.96 is: 4,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.52 : 5,249.88 = 3,139.96 : x
  2. Step 2: Convert to fraction form
    3,498.52/5,249.88 = 3,139.96/x
  3. Step 3: Cross multiply
    3,498.52x = 5,249.88 × 3,139.96
  4. Step 4: Simplify right side
    3,498.52x = 16,484,413.20
  5. Step 5: Solve for x
    x = 16,484,413.20/3,498.52
  6. Step 6: Final answer
    x = 4,711.82

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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.