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Finding the Fourth Proportional to 3,469.43, 5,200.50 and 1,388.44

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Solution

The fourth proportional to 3,469.43, 5,200.50 and 1,388.44 is: 2,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.43 : 5,200.50 = 1,388.44 : x
  2. Step 2: Convert to fraction form
    3,469.43/5,200.50 = 1,388.44/x
  3. Step 3: Cross multiply
    3,469.43x = 5,200.50 × 1,388.44
  4. Step 4: Simplify right side
    3,469.43x = 7,220,593.93
  5. Step 5: Solve for x
    x = 7,220,593.93/3,469.43
  6. Step 6: Final answer
    x = 2,081.20

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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.