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Finding the Fourth Proportional to 4,163.69, 5,744.09 and 2,745.56

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Solution

The fourth proportional to 4,163.69, 5,744.09 and 2,745.56 is: 3,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.69 : 5,744.09 = 2,745.56 : x
  2. Step 2: Convert to fraction form
    4,163.69/5,744.09 = 2,745.56/x
  3. Step 3: Cross multiply
    4,163.69x = 5,744.09 × 2,745.56
  4. Step 4: Simplify right side
    4,163.69x = 15,770,730.01
  5. Step 5: Solve for x
    x = 15,770,730.01/4,163.69
  6. Step 6: Final answer
    x = 3,787.68

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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.