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Finding the Fourth Proportional to 5,789.13, 7,988.94 and 3,136.53

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Solution

The fourth proportional to 5,789.13, 7,988.94 and 3,136.53 is: 4,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.13 : 7,988.94 = 3,136.53 : x
  2. Step 2: Convert to fraction form
    5,789.13/7,988.94 = 3,136.53/x
  3. Step 3: Cross multiply
    5,789.13x = 7,988.94 × 3,136.53
  4. Step 4: Simplify right side
    5,789.13x = 25,057,540.88
  5. Step 5: Solve for x
    x = 25,057,540.88/5,789.13
  6. Step 6: Final answer
    x = 4,328.38

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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.