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Finding the Fourth Proportional to 5,169.38, 7,136.45 and 4,149.99

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Solution

The fourth proportional to 5,169.38, 7,136.45 and 4,149.99 is: 5,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.38 : 7,136.45 = 4,149.99 : x
  2. Step 2: Convert to fraction form
    5,169.38/7,136.45 = 4,149.99/x
  3. Step 3: Cross multiply
    5,169.38x = 7,136.45 × 4,149.99
  4. Step 4: Simplify right side
    5,169.38x = 29,616,175.39
  5. Step 5: Solve for x
    x = 29,616,175.39/5,169.38
  6. Step 6: Final answer
    x = 5,729.16

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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.