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Finding the Fourth Proportional to 5,781.96, 8,668.98 and 2,082.24

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Solution

The fourth proportional to 5,781.96, 8,668.98 and 2,082.24 is: 3,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.96 : 8,668.98 = 2,082.24 : x
  2. Step 2: Convert to fraction form
    5,781.96/8,668.98 = 2,082.24/x
  3. Step 3: Cross multiply
    5,781.96x = 8,668.98 × 2,082.24
  4. Step 4: Simplify right side
    5,781.96x = 18,050,896.92
  5. Step 5: Solve for x
    x = 18,050,896.92/5,781.96
  6. Step 6: Final answer
    x = 3,121.93

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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.