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Finding the Fourth Proportional to 4,161.65, 5,744.03 and 2,745.59

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Solution

The fourth proportional to 4,161.65, 5,744.03 and 2,745.59 is: 3,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.65 : 5,744.03 = 2,745.59 : x
  2. Step 2: Convert to fraction form
    4,161.65/5,744.03 = 2,745.59/x
  3. Step 3: Cross multiply
    4,161.65x = 5,744.03 × 2,745.59
  4. Step 4: Simplify right side
    4,161.65x = 15,770,708.88
  5. Step 5: Solve for x
    x = 15,770,708.88/4,161.65
  6. Step 6: Final answer
    x = 3,789.54

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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.