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Finding the Fourth Proportional to 3,882.70, 5,814.33 and 3,099.34

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Solution

The fourth proportional to 3,882.70, 5,814.33 and 3,099.34 is: 4,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.70 : 5,814.33 = 3,099.34 : x
  2. Step 2: Convert to fraction form
    3,882.70/5,814.33 = 3,099.34/x
  3. Step 3: Cross multiply
    3,882.70x = 5,814.33 × 3,099.34
  4. Step 4: Simplify right side
    3,882.70x = 18,020,585.54
  5. Step 5: Solve for x
    x = 18,020,585.54/3,882.70
  6. Step 6: Final answer
    x = 4,641.25

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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.