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Finding the Fourth Proportional to 3,761.46, 5,189.94 and 2,269.44

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Solution

The fourth proportional to 3,761.46, 5,189.94 and 2,269.44 is: 3,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.46 : 5,189.94 = 2,269.44 : x
  2. Step 2: Convert to fraction form
    3,761.46/5,189.94 = 2,269.44/x
  3. Step 3: Cross multiply
    3,761.46x = 5,189.94 × 2,269.44
  4. Step 4: Simplify right side
    3,761.46x = 11,778,257.43
  5. Step 5: Solve for x
    x = 11,778,257.43/3,761.46
  6. Step 6: Final answer
    x = 3,131.30

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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.