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Finding the Fourth Proportional to 5,212.72, 7,819.04 and 3,469.04

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Solution

The fourth proportional to 5,212.72, 7,819.04 and 3,469.04 is: 5,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.72 : 7,819.04 = 3,469.04 : x
  2. Step 2: Convert to fraction form
    5,212.72/7,819.04 = 3,469.04/x
  3. Step 3: Cross multiply
    5,212.72x = 7,819.04 × 3,469.04
  4. Step 4: Simplify right side
    5,212.72x = 27,124,562.52
  5. Step 5: Solve for x
    x = 27,124,562.52/5,212.72
  6. Step 6: Final answer
    x = 5,203.53

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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.