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Finding the Fourth Proportional to 5,286.40, 7,921.92 and 2,362.88

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Solution

The fourth proportional to 5,286.40, 7,921.92 and 2,362.88 is: 3,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.40 : 7,921.92 = 2,362.88 : x
  2. Step 2: Convert to fraction form
    5,286.40/7,921.92 = 2,362.88/x
  3. Step 3: Cross multiply
    5,286.40x = 7,921.92 × 2,362.88
  4. Step 4: Simplify right side
    5,286.40x = 18,718,546.33
  5. Step 5: Solve for x
    x = 18,718,546.33/5,286.40
  6. Step 6: Final answer
    x = 3,540.89

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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.