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Finding the Fourth Proportional to 4,162.30, 5,745.18 and 2,747.02

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Solution

The fourth proportional to 4,162.30, 5,745.18 and 2,747.02 is: 3,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.30 : 5,745.18 = 2,747.02 : x
  2. Step 2: Convert to fraction form
    4,162.30/5,745.18 = 2,747.02/x
  3. Step 3: Cross multiply
    4,162.30x = 5,745.18 × 2,747.02
  4. Step 4: Simplify right side
    4,162.30x = 15,782,124.36
  5. Step 5: Solve for x
    x = 15,782,124.36/4,162.30
  6. Step 6: Final answer
    x = 3,791.68

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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.