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Finding the Fourth Proportional to 3,645.27, 5,032.44 and 2,229.27

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Solution

The fourth proportional to 3,645.27, 5,032.44 and 2,229.27 is: 3,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.27 : 5,032.44 = 2,229.27 : x
  2. Step 2: Convert to fraction form
    3,645.27/5,032.44 = 2,229.27/x
  3. Step 3: Cross multiply
    3,645.27x = 5,032.44 × 2,229.27
  4. Step 4: Simplify right side
    3,645.27x = 11,218,667.52
  5. Step 5: Solve for x
    x = 11,218,667.52/3,645.27
  6. Step 6: Final answer
    x = 3,077.60

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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.