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Finding the Fourth Proportional to 3,983.36, 5,945.87 and 3,694.23

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Solution

The fourth proportional to 3,983.36, 5,945.87 and 3,694.23 is: 5,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.36 : 5,945.87 = 3,694.23 : x
  2. Step 2: Convert to fraction form
    3,983.36/5,945.87 = 3,694.23/x
  3. Step 3: Cross multiply
    3,983.36x = 5,945.87 × 3,694.23
  4. Step 4: Simplify right side
    3,983.36x = 21,965,392.86
  5. Step 5: Solve for x
    x = 21,965,392.86/3,983.36
  6. Step 6: Final answer
    x = 5,514.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.