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Finding the Fourth Proportional to 3,439.62, 5,149.62 and 3,221.66

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Solution

The fourth proportional to 3,439.62, 5,149.62 and 3,221.66 is: 4,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.62 : 5,149.62 = 3,221.66 : x
  2. Step 2: Convert to fraction form
    3,439.62/5,149.62 = 3,221.66/x
  3. Step 3: Cross multiply
    3,439.62x = 5,149.62 × 3,221.66
  4. Step 4: Simplify right side
    3,439.62x = 16,590,324.77
  5. Step 5: Solve for x
    x = 16,590,324.77/3,439.62
  6. Step 6: Final answer
    x = 4,823.30

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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.