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Finding the Fourth Proportional to 3,808.28, 5,711.96 and 1,034.78

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Solution

The fourth proportional to 3,808.28, 5,711.96 and 1,034.78 is: 1,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.28 : 5,711.96 = 1,034.78 : x
  2. Step 2: Convert to fraction form
    3,808.28/5,711.96 = 1,034.78/x
  3. Step 3: Cross multiply
    3,808.28x = 5,711.96 × 1,034.78
  4. Step 4: Simplify right side
    3,808.28x = 5,910,588.24
  5. Step 5: Solve for x
    x = 5,910,588.24/3,808.28
  6. Step 6: Final answer
    x = 1,552.04

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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.