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Finding the Fourth Proportional to 3,452.80, 4,768.26 and 2,196.22

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Solution

The fourth proportional to 3,452.80, 4,768.26 and 2,196.22 is: 3,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.80 : 4,768.26 = 2,196.22 : x
  2. Step 2: Convert to fraction form
    3,452.80/4,768.26 = 2,196.22/x
  3. Step 3: Cross multiply
    3,452.80x = 4,768.26 × 2,196.22
  4. Step 4: Simplify right side
    3,452.80x = 10,472,147.98
  5. Step 5: Solve for x
    x = 10,472,147.98/3,452.80
  6. Step 6: Final answer
    x = 3,032.94

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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.