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Finding the Fourth Proportional to 5,372.72, 8,049 and 3,174.92

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Solution

The fourth proportional to 5,372.72, 8,049 and 3,174.92 is: 4,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.72 : 8,049 = 3,174.92 : x
  2. Step 2: Convert to fraction form
    5,372.72/8,049 = 3,174.92/x
  3. Step 3: Cross multiply
    5,372.72x = 8,049 × 3,174.92
  4. Step 4: Simplify right side
    5,372.72x = 25,554,931.08
  5. Step 5: Solve for x
    x = 25,554,931.08/5,372.72
  6. Step 6: Final answer
    x = 4,756.42

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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.