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Finding the Fourth Proportional to 5,729.09, 7,906.12 and 3,211.20

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Solution

The fourth proportional to 5,729.09, 7,906.12 and 3,211.20 is: 4,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.09 : 7,906.12 = 3,211.20 : x
  2. Step 2: Convert to fraction form
    5,729.09/7,906.12 = 3,211.20/x
  3. Step 3: Cross multiply
    5,729.09x = 7,906.12 × 3,211.20
  4. Step 4: Simplify right side
    5,729.09x = 25,388,124.52
  5. Step 5: Solve for x
    x = 25,388,124.52/5,729.09
  6. Step 6: Final answer
    x = 4,431.44

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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.