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Finding the Fourth Proportional to 3,884.28, 5,827.50 and 2,154.12

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Solution

The fourth proportional to 3,884.28, 5,827.50 and 2,154.12 is: 3,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.28 : 5,827.50 = 2,154.12 : x
  2. Step 2: Convert to fraction form
    3,884.28/5,827.50 = 2,154.12/x
  3. Step 3: Cross multiply
    3,884.28x = 5,827.50 × 2,154.12
  4. Step 4: Simplify right side
    3,884.28x = 12,553,134.30
  5. Step 5: Solve for x
    x = 12,553,134.30/3,884.28
  6. Step 6: Final answer
    x = 3,231.78

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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.