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Finding the Fourth Proportional to 3,704.25, 5,561.25 and 3,398.61

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Solution

The fourth proportional to 3,704.25, 5,561.25 and 3,398.61 is: 5,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.25 : 5,561.25 = 3,398.61 : x
  2. Step 2: Convert to fraction form
    3,704.25/5,561.25 = 3,398.61/x
  3. Step 3: Cross multiply
    3,704.25x = 5,561.25 × 3,398.61
  4. Step 4: Simplify right side
    3,704.25x = 18,900,519.86
  5. Step 5: Solve for x
    x = 18,900,519.86/3,704.25
  6. Step 6: Final answer
    x = 5,102.39

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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.