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Finding the Fourth Proportional to 5,789.43, 7,989.39 and 3,136.85

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Solution

The fourth proportional to 5,789.43, 7,989.39 and 3,136.85 is: 4,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.43 : 7,989.39 = 3,136.85 : x
  2. Step 2: Convert to fraction form
    5,789.43/7,989.39 = 3,136.85/x
  3. Step 3: Cross multiply
    5,789.43x = 7,989.39 × 3,136.85
  4. Step 4: Simplify right side
    5,789.43x = 25,061,478.07
  5. Step 5: Solve for x
    x = 25,061,478.07/5,789.43
  6. Step 6: Final answer
    x = 4,328.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.