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Finding the Fourth Proportional to 3,976.64, 5,965.92 and 1,997.37

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Solution

The fourth proportional to 3,976.64, 5,965.92 and 1,997.37 is: 2,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.64 : 5,965.92 = 1,997.37 : x
  2. Step 2: Convert to fraction form
    3,976.64/5,965.92 = 1,997.37/x
  3. Step 3: Cross multiply
    3,976.64x = 5,965.92 × 1,997.37
  4. Step 4: Simplify right side
    3,976.64x = 11,916,149.63
  5. Step 5: Solve for x
    x = 11,916,149.63/3,976.64
  6. Step 6: Final answer
    x = 2,996.54

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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.