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Finding the Fourth Proportional to 3,997.98, 5,996.67 and 1,533.06

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Solution

The fourth proportional to 3,997.98, 5,996.67 and 1,533.06 is: 2,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.98 : 5,996.67 = 1,533.06 : x
  2. Step 2: Convert to fraction form
    3,997.98/5,996.67 = 1,533.06/x
  3. Step 3: Cross multiply
    3,997.98x = 5,996.67 × 1,533.06
  4. Step 4: Simplify right side
    3,997.98x = 9,193,254.91
  5. Step 5: Solve for x
    x = 9,193,254.91/3,997.98
  6. Step 6: Final answer
    x = 2,299.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.