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Finding the Fourth Proportional to 3,469.65, 5,204.48 and 872.57

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Solution

The fourth proportional to 3,469.65, 5,204.48 and 872.57 is: 1,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.65 : 5,204.48 = 872.57 : x
  2. Step 2: Convert to fraction form
    3,469.65/5,204.48 = 872.57/x
  3. Step 3: Cross multiply
    3,469.65x = 5,204.48 × 872.57
  4. Step 4: Simplify right side
    3,469.65x = 4,541,242.73
  5. Step 5: Solve for x
    x = 4,541,242.73/3,469.65
  6. Step 6: Final answer
    x = 1,308.85

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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.