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Finding the Fourth Proportional to 5,965.72, 8,233.26 and 3,447.03

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Solution

The fourth proportional to 5,965.72, 8,233.26 and 3,447.03 is: 4,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.72 : 8,233.26 = 3,447.03 : x
  2. Step 2: Convert to fraction form
    5,965.72/8,233.26 = 3,447.03/x
  3. Step 3: Cross multiply
    5,965.72x = 8,233.26 × 3,447.03
  4. Step 4: Simplify right side
    5,965.72x = 28,380,294.22
  5. Step 5: Solve for x
    x = 28,380,294.22/5,965.72
  6. Step 6: Final answer
    x = 4,757.23

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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.