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Finding the Fourth Proportional to 5,965.29, 8,232.04 and 3,447.39

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Solution

The fourth proportional to 5,965.29, 8,232.04 and 3,447.39 is: 4,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.29 : 8,232.04 = 3,447.39 : x
  2. Step 2: Convert to fraction form
    5,965.29/8,232.04 = 3,447.39/x
  3. Step 3: Cross multiply
    5,965.29x = 8,232.04 × 3,447.39
  4. Step 4: Simplify right side
    5,965.29x = 28,379,087.55
  5. Step 5: Solve for x
    x = 28,379,087.55/5,965.29
  6. Step 6: Final answer
    x = 4,757.37

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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.