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Finding the Fourth Proportional to 3,882.26, 5,793.56 and 3,467.06

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Solution

The fourth proportional to 3,882.26, 5,793.56 and 3,467.06 is: 5,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.26 : 5,793.56 = 3,467.06 : x
  2. Step 2: Convert to fraction form
    3,882.26/5,793.56 = 3,467.06/x
  3. Step 3: Cross multiply
    3,882.26x = 5,793.56 × 3,467.06
  4. Step 4: Simplify right side
    3,882.26x = 20,086,573.83
  5. Step 5: Solve for x
    x = 20,086,573.83/3,882.26
  6. Step 6: Final answer
    x = 5,173.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.