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Finding the Fourth Proportional to 5,996.70, 8,266.56 and 3,872.06

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Solution

The fourth proportional to 5,996.70, 8,266.56 and 3,872.06 is: 5,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.70 : 8,266.56 = 3,872.06 : x
  2. Step 2: Convert to fraction form
    5,996.70/8,266.56 = 3,872.06/x
  3. Step 3: Cross multiply
    5,996.70x = 8,266.56 × 3,872.06
  4. Step 4: Simplify right side
    5,996.70x = 32,008,616.31
  5. Step 5: Solve for x
    x = 32,008,616.31/5,996.70
  6. Step 6: Final answer
    x = 5,337.71

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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.