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Finding the Fourth Proportional to 5,711.70, 7,882.32 and 3,193.74

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Solution

The fourth proportional to 5,711.70, 7,882.32 and 3,193.74 is: 4,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.70 : 7,882.32 = 3,193.74 : x
  2. Step 2: Convert to fraction form
    5,711.70/7,882.32 = 3,193.74/x
  3. Step 3: Cross multiply
    5,711.70x = 7,882.32 × 3,193.74
  4. Step 4: Simplify right side
    5,711.70x = 25,174,080.68
  5. Step 5: Solve for x
    x = 25,174,080.68/5,711.70
  6. Step 6: Final answer
    x = 4,407.46

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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.