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Finding the Fourth Proportional to 5,125.97, 7,074.59 and 3,136.20

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Solution

The fourth proportional to 5,125.97, 7,074.59 and 3,136.20 is: 4,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.97 : 7,074.59 = 3,136.20 : x
  2. Step 2: Convert to fraction form
    5,125.97/7,074.59 = 3,136.20/x
  3. Step 3: Cross multiply
    5,125.97x = 7,074.59 × 3,136.20
  4. Step 4: Simplify right side
    5,125.97x = 22,187,313.48
  5. Step 5: Solve for x
    x = 22,187,313.48/5,125.97
  6. Step 6: Final answer
    x = 4,328.42

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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.