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Finding the Fourth Proportional to 3,861.53, 5,792.24 and 939.86

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Solution

The fourth proportional to 3,861.53, 5,792.24 and 939.86 is: 1,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.53 : 5,792.24 = 939.86 : x
  2. Step 2: Convert to fraction form
    3,861.53/5,792.24 = 939.86/x
  3. Step 3: Cross multiply
    3,861.53x = 5,792.24 × 939.86
  4. Step 4: Simplify right side
    3,861.53x = 5,443,861.03
  5. Step 5: Solve for x
    x = 5,443,861.03/3,861.53
  6. Step 6: Final answer
    x = 1,409.77

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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.