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Finding the Fourth Proportional to 3,469, 5,201.88 and 1,158.88

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Solution

The fourth proportional to 3,469, 5,201.88 and 1,158.88 is: 1,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469 : 5,201.88 = 1,158.88 : x
  2. Step 2: Convert to fraction form
    3,469/5,201.88 = 1,158.88/x
  3. Step 3: Cross multiply
    3,469x = 5,201.88 × 1,158.88
  4. Step 4: Simplify right side
    3,469x = 6,028,354.69
  5. Step 5: Solve for x
    x = 6,028,354.69/3,469
  6. Step 6: Final answer
    x = 1,737.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.