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Finding the Fourth Proportional to 5,286.96, 7,933.20 and 2,654.88

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Solution

The fourth proportional to 5,286.96, 7,933.20 and 2,654.88 is: 3,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.96 : 7,933.20 = 2,654.88 : x
  2. Step 2: Convert to fraction form
    5,286.96/7,933.20 = 2,654.88/x
  3. Step 3: Cross multiply
    5,286.96x = 7,933.20 × 2,654.88
  4. Step 4: Simplify right side
    5,286.96x = 21,061,694.02
  5. Step 5: Solve for x
    x = 21,061,694.02/5,286.96
  6. Step 6: Final answer
    x = 3,983.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.