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Finding the Fourth Proportional to 5,711.56, 7,882.13 and 3,193.59

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Solution

The fourth proportional to 5,711.56, 7,882.13 and 3,193.59 is: 4,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.56 : 7,882.13 = 3,193.59 : x
  2. Step 2: Convert to fraction form
    5,711.56/7,882.13 = 3,193.59/x
  3. Step 3: Cross multiply
    5,711.56x = 7,882.13 × 3,193.59
  4. Step 4: Simplify right side
    5,711.56x = 25,172,291.55
  5. Step 5: Solve for x
    x = 25,172,291.55/5,711.56
  6. Step 6: Final answer
    x = 4,407.25

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1.5x scale

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.