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Finding the Fourth Proportional to 5,819.62, 8,744 and 5,469.70

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Solution

The fourth proportional to 5,819.62, 8,744 and 5,469.70 is: 8,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.62 : 8,744 = 5,469.70 : x
  2. Step 2: Convert to fraction form
    5,819.62/8,744 = 5,469.70/x
  3. Step 3: Cross multiply
    5,819.62x = 8,744 × 5,469.70
  4. Step 4: Simplify right side
    5,819.62x = 47,827,056.80
  5. Step 5: Solve for x
    x = 47,827,056.80/5,819.62
  6. Step 6: Final answer
    x = 8,218.24

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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.