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Finding the Fourth Proportional to 3,861.54, 5,792.32 and 939.82

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Solution

The fourth proportional to 3,861.54, 5,792.32 and 939.82 is: 1,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.54 : 5,792.32 = 939.82 : x
  2. Step 2: Convert to fraction form
    3,861.54/5,792.32 = 939.82/x
  3. Step 3: Cross multiply
    3,861.54x = 5,792.32 × 939.82
  4. Step 4: Simplify right side
    3,861.54x = 5,443,738.18
  5. Step 5: Solve for x
    x = 5,443,738.18/3,861.54
  6. Step 6: Final answer
    x = 1,409.73

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Why These Related Problems?

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