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Finding the Fourth Proportional to 5,271.92, 7,909.26 and 3,082.52

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Solution

The fourth proportional to 5,271.92, 7,909.26 and 3,082.52 is: 4,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.92 : 7,909.26 = 3,082.52 : x
  2. Step 2: Convert to fraction form
    5,271.92/7,909.26 = 3,082.52/x
  3. Step 3: Cross multiply
    5,271.92x = 7,909.26 × 3,082.52
  4. Step 4: Simplify right side
    5,271.92x = 24,380,452.14
  5. Step 5: Solve for x
    x = 24,380,452.14/5,271.92
  6. Step 6: Final answer
    x = 4,624.59

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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.