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Finding the Fourth Proportional to 5,996.50, 8,274.82 and 3,343.82

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Solution

The fourth proportional to 5,996.50, 8,274.82 and 3,343.82 is: 4,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.50 : 8,274.82 = 3,343.82 : x
  2. Step 2: Convert to fraction form
    5,996.50/8,274.82 = 3,343.82/x
  3. Step 3: Cross multiply
    5,996.50x = 8,274.82 × 3,343.82
  4. Step 4: Simplify right side
    5,996.50x = 27,669,508.61
  5. Step 5: Solve for x
    x = 27,669,508.61/5,996.50
  6. Step 6: Final answer
    x = 4,614.28

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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.