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Finding the Fourth Proportional to 2,747.72, 3,793.62 and 2,452.47

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Solution

The fourth proportional to 2,747.72, 3,793.62 and 2,452.47 is: 3,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.72 : 3,793.62 = 2,452.47 : x
  2. Step 2: Convert to fraction form
    2,747.72/3,793.62 = 2,452.47/x
  3. Step 3: Cross multiply
    2,747.72x = 3,793.62 × 2,452.47
  4. Step 4: Simplify right side
    2,747.72x = 9,303,739.24
  5. Step 5: Solve for x
    x = 9,303,739.24/2,747.72
  6. Step 6: Final answer
    x = 3,385.99

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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.