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Finding the Fourth Proportional to 5,286.27, 7,931.55 and 2,000.31

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Solution

The fourth proportional to 5,286.27, 7,931.55 and 2,000.31 is: 3,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.27 : 7,931.55 = 2,000.31 : x
  2. Step 2: Convert to fraction form
    5,286.27/7,931.55 = 2,000.31/x
  3. Step 3: Cross multiply
    5,286.27x = 7,931.55 × 2,000.31
  4. Step 4: Simplify right side
    5,286.27x = 15,865,558.78
  5. Step 5: Solve for x
    x = 15,865,558.78/5,286.27
  6. Step 6: Final answer
    x = 3,001.28

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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.