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Finding the Fourth Proportional to 5,968.96, 8,233.46 and 3,843.78

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Solution

The fourth proportional to 5,968.96, 8,233.46 and 3,843.78 is: 5,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.96 : 8,233.46 = 3,843.78 : x
  2. Step 2: Convert to fraction form
    5,968.96/8,233.46 = 3,843.78/x
  3. Step 3: Cross multiply
    5,968.96x = 8,233.46 × 3,843.78
  4. Step 4: Simplify right side
    5,968.96x = 31,647,608.88
  5. Step 5: Solve for x
    x = 31,647,608.88/5,968.96
  6. Step 6: Final answer
    x = 5,302.03

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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.