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Finding the Fourth Proportional to 3,998.19, 5,996.83 and 1,076.27

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Solution

The fourth proportional to 3,998.19, 5,996.83 and 1,076.27 is: 1,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.19 : 5,996.83 = 1,076.27 : x
  2. Step 2: Convert to fraction form
    3,998.19/5,996.83 = 1,076.27/x
  3. Step 3: Cross multiply
    3,998.19x = 5,996.83 × 1,076.27
  4. Step 4: Simplify right side
    3,998.19x = 6,454,208.22
  5. Step 5: Solve for x
    x = 6,454,208.22/3,998.19
  6. Step 6: Final answer
    x = 1,614.28

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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.