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Finding the Fourth Proportional to 5,996.26, 8,274.87 and 3,343.78

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Solution

The fourth proportional to 5,996.26, 8,274.87 and 3,343.78 is: 4,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.26 : 8,274.87 = 3,343.78 : x
  2. Step 2: Convert to fraction form
    5,996.26/8,274.87 = 3,343.78/x
  3. Step 3: Cross multiply
    5,996.26x = 8,274.87 × 3,343.78
  4. Step 4: Simplify right side
    5,996.26x = 27,669,344.81
  5. Step 5: Solve for x
    x = 27,669,344.81/5,996.26
  6. Step 6: Final answer
    x = 4,614.43

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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.