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Finding the Fourth Proportional to 3,682.86, 5,082.12 and 2,110.92

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Solution

The fourth proportional to 3,682.86, 5,082.12 and 2,110.92 is: 2,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.86 : 5,082.12 = 2,110.92 : x
  2. Step 2: Convert to fraction form
    3,682.86/5,082.12 = 2,110.92/x
  3. Step 3: Cross multiply
    3,682.86x = 5,082.12 × 2,110.92
  4. Step 4: Simplify right side
    3,682.86x = 10,727,948.75
  5. Step 5: Solve for x
    x = 10,727,948.75/3,682.86
  6. Step 6: Final answer
    x = 2,912.94

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