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Finding the Fourth Proportional to 3,788.26, 5,227.80 and 2,132.26

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Solution

The fourth proportional to 3,788.26, 5,227.80 and 2,132.26 is: 2,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.26 : 5,227.80 = 2,132.26 : x
  2. Step 2: Convert to fraction form
    3,788.26/5,227.80 = 2,132.26/x
  3. Step 3: Cross multiply
    3,788.26x = 5,227.80 × 2,132.26
  4. Step 4: Simplify right side
    3,788.26x = 11,147,028.83
  5. Step 5: Solve for x
    x = 11,147,028.83/3,788.26
  6. Step 6: Final answer
    x = 2,942.52

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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.