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Finding the Fourth Proportional to 5,713.43, 7,882.74 and 3,195.20

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Solution

The fourth proportional to 5,713.43, 7,882.74 and 3,195.20 is: 4,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.43 : 7,882.74 = 3,195.20 : x
  2. Step 2: Convert to fraction form
    5,713.43/7,882.74 = 3,195.20/x
  3. Step 3: Cross multiply
    5,713.43x = 7,882.74 × 3,195.20
  4. Step 4: Simplify right side
    5,713.43x = 25,186,930.85
  5. Step 5: Solve for x
    x = 25,186,930.85/5,713.43
  6. Step 6: Final answer
    x = 4,408.37

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