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Finding the Fourth Proportional to 3,806.10, 5,709.15 and 2,761.20

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Solution

The fourth proportional to 3,806.10, 5,709.15 and 2,761.20 is: 4,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.10 : 5,709.15 = 2,761.20 : x
  2. Step 2: Convert to fraction form
    3,806.10/5,709.15 = 2,761.20/x
  3. Step 3: Cross multiply
    3,806.10x = 5,709.15 × 2,761.20
  4. Step 4: Simplify right side
    3,806.10x = 15,764,104.98
  5. Step 5: Solve for x
    x = 15,764,104.98/3,806.10
  6. Step 6: Final answer
    x = 4,141.80

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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.