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Finding the Fourth Proportional to 3,806.32, 5,251.32 and 2,233.84

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Solution

The fourth proportional to 3,806.32, 5,251.32 and 2,233.84 is: 3,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.32 : 5,251.32 = 2,233.84 : x
  2. Step 2: Convert to fraction form
    3,806.32/5,251.32 = 2,233.84/x
  3. Step 3: Cross multiply
    3,806.32x = 5,251.32 × 2,233.84
  4. Step 4: Simplify right side
    3,806.32x = 11,730,608.67
  5. Step 5: Solve for x
    x = 11,730,608.67/3,806.32
  6. Step 6: Final answer
    x = 3,081.88

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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.