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Finding the Fourth Proportional to 3,861.09, 5,791.55 and 939.42

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Solution

The fourth proportional to 3,861.09, 5,791.55 and 939.42 is: 1,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.09 : 5,791.55 = 939.42 : x
  2. Step 2: Convert to fraction form
    3,861.09/5,791.55 = 939.42/x
  3. Step 3: Cross multiply
    3,861.09x = 5,791.55 × 939.42
  4. Step 4: Simplify right side
    3,861.09x = 5,440,693.20
  5. Step 5: Solve for x
    x = 5,440,693.20/3,861.09
  6. Step 6: Final answer
    x = 1,409.11

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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.