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Finding the Fourth Proportional to 3,874.27, 5,811.34 and 952.60

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Solution

The fourth proportional to 3,874.27, 5,811.34 and 952.60 is: 1,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.27 : 5,811.34 = 952.60 : x
  2. Step 2: Convert to fraction form
    3,874.27/5,811.34 = 952.60/x
  3. Step 3: Cross multiply
    3,874.27x = 5,811.34 × 952.60
  4. Step 4: Simplify right side
    3,874.27x = 5,535,877.72
  5. Step 5: Solve for x
    x = 5,535,877.72/3,874.27
  6. Step 6: Final answer
    x = 1,428.88

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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.