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Finding the Fourth Proportional to 6,704.38, 9,252.87 and 3,871.75

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Solution

The fourth proportional to 6,704.38, 9,252.87 and 3,871.75 is: 5,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.38 : 9,252.87 = 3,871.75 : x
  2. Step 2: Convert to fraction form
    6,704.38/9,252.87 = 3,871.75/x
  3. Step 3: Cross multiply
    6,704.38x = 9,252.87 × 3,871.75
  4. Step 4: Simplify right side
    6,704.38x = 35,824,799.42
  5. Step 5: Solve for x
    x = 35,824,799.42/6,704.38
  6. Step 6: Final answer
    x = 5,343.49

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Why These Related Problems?

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