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Finding the Fourth Proportional to 5,142.33, 7,711.88 and 3,266.91

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Solution

The fourth proportional to 5,142.33, 7,711.88 and 3,266.91 is: 4,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.33 : 7,711.88 = 3,266.91 : x
  2. Step 2: Convert to fraction form
    5,142.33/7,711.88 = 3,266.91/x
  3. Step 3: Cross multiply
    5,142.33x = 7,711.88 × 3,266.91
  4. Step 4: Simplify right side
    5,142.33x = 25,194,001.56
  5. Step 5: Solve for x
    x = 25,194,001.56/5,142.33
  6. Step 6: Final answer
    x = 4,899.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.