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Finding the Fourth Proportional to 5,729.03, 7,906.10 and 3,211.25

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Solution

The fourth proportional to 5,729.03, 7,906.10 and 3,211.25 is: 4,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.03 : 7,906.10 = 3,211.25 : x
  2. Step 2: Convert to fraction form
    5,729.03/7,906.10 = 3,211.25/x
  3. Step 3: Cross multiply
    5,729.03x = 7,906.10 × 3,211.25
  4. Step 4: Simplify right side
    5,729.03x = 25,388,408.04
  5. Step 5: Solve for x
    x = 25,388,408.04/5,729.03
  6. Step 6: Final answer
    x = 4,431.54

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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.