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Finding the Fourth Proportional to 3,997.17, 5,996.57 and 1,364.45

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Solution

The fourth proportional to 3,997.17, 5,996.57 and 1,364.45 is: 2,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.17 : 5,996.57 = 1,364.45 : x
  2. Step 2: Convert to fraction form
    3,997.17/5,996.57 = 1,364.45/x
  3. Step 3: Cross multiply
    3,997.17x = 5,996.57 × 1,364.45
  4. Step 4: Simplify right side
    3,997.17x = 8,181,983.13
  5. Step 5: Solve for x
    x = 8,181,983.13/3,997.17
  6. Step 6: Final answer
    x = 2,046.94

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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.