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Finding the Fourth Proportional to 5,611.22, 7,743.49 and 3,254.73

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Solution

The fourth proportional to 5,611.22, 7,743.49 and 3,254.73 is: 4,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.22 : 7,743.49 = 3,254.73 : x
  2. Step 2: Convert to fraction form
    5,611.22/7,743.49 = 3,254.73/x
  3. Step 3: Cross multiply
    5,611.22x = 7,743.49 × 3,254.73
  4. Step 4: Simplify right side
    5,611.22x = 25,202,969.21
  5. Step 5: Solve for x
    x = 25,202,969.21/5,611.22
  6. Step 6: Final answer
    x = 4,491.53

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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.