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Finding the Fourth Proportional to 5,372.52, 8,055 and 2,082.84

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Solution

The fourth proportional to 5,372.52, 8,055 and 2,082.84 is: 3,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.52 : 8,055 = 2,082.84 : x
  2. Step 2: Convert to fraction form
    5,372.52/8,055 = 2,082.84/x
  3. Step 3: Cross multiply
    5,372.52x = 8,055 × 2,082.84
  4. Step 4: Simplify right side
    5,372.52x = 16,777,276.20
  5. Step 5: Solve for x
    x = 16,777,276.20/5,372.52
  6. Step 6: Final answer
    x = 3,122.79

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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.