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Finding the Fourth Proportional to 3,861.54, 5,792.25 and 939.84

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Solution

The fourth proportional to 3,861.54, 5,792.25 and 939.84 is: 1,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.54 : 5,792.25 = 939.84 : x
  2. Step 2: Convert to fraction form
    3,861.54/5,792.25 = 939.84/x
  3. Step 3: Cross multiply
    3,861.54x = 5,792.25 × 939.84
  4. Step 4: Simplify right side
    3,861.54x = 5,443,788.24
  5. Step 5: Solve for x
    x = 5,443,788.24/3,861.54
  6. Step 6: Final answer
    x = 1,409.75

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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.