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Finding the Fourth Proportional to 3,227.66, 4,452.53 and 2,109.25

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Solution

The fourth proportional to 3,227.66, 4,452.53 and 2,109.25 is: 2,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.66 : 4,452.53 = 2,109.25 : x
  2. Step 2: Convert to fraction form
    3,227.66/4,452.53 = 2,109.25/x
  3. Step 3: Cross multiply
    3,227.66x = 4,452.53 × 2,109.25
  4. Step 4: Simplify right side
    3,227.66x = 9,391,488.36
  5. Step 5: Solve for x
    x = 9,391,488.36/3,227.66
  6. Step 6: Final answer
    x = 2,909.69

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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.