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Finding the Fourth Proportional to 3,806.70, 5,720.82 and 2,247.44

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Solution

The fourth proportional to 3,806.70, 5,720.82 and 2,247.44 is: 3,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.70 : 5,720.82 = 2,247.44 : x
  2. Step 2: Convert to fraction form
    3,806.70/5,720.82 = 2,247.44/x
  3. Step 3: Cross multiply
    3,806.70x = 5,720.82 × 2,247.44
  4. Step 4: Simplify right side
    3,806.70x = 12,857,214.00
  5. Step 5: Solve for x
    x = 12,857,214.00/3,806.70
  6. Step 6: Final answer
    x = 3,377.52

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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.