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Finding the Fourth Proportional to 3,761.33, 5,190.49 and 2,059.76

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Solution

The fourth proportional to 3,761.33, 5,190.49 and 2,059.76 is: 2,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.33 : 5,190.49 = 2,059.76 : x
  2. Step 2: Convert to fraction form
    3,761.33/5,190.49 = 2,059.76/x
  3. Step 3: Cross multiply
    3,761.33x = 5,190.49 × 2,059.76
  4. Step 4: Simplify right side
    3,761.33x = 10,691,163.68
  5. Step 5: Solve for x
    x = 10,691,163.68/3,761.33
  6. Step 6: Final answer
    x = 2,842.39

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Why These Related Problems?

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