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Finding the Fourth Proportional to 3,806.28, 5,251.50 and 2,234.88

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Solution

The fourth proportional to 3,806.28, 5,251.50 and 2,234.88 is: 3,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.28 : 5,251.50 = 2,234.88 : x
  2. Step 2: Convert to fraction form
    3,806.28/5,251.50 = 2,234.88/x
  3. Step 3: Cross multiply
    3,806.28x = 5,251.50 × 2,234.88
  4. Step 4: Simplify right side
    3,806.28x = 11,736,472.32
  5. Step 5: Solve for x
    x = 11,736,472.32/3,806.28
  6. Step 6: Final answer
    x = 3,083.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.