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Finding the Fourth Proportional to 3,939.32, 5,910.21 and 1,859.24

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Solution

The fourth proportional to 3,939.32, 5,910.21 and 1,859.24 is: 2,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.32 : 5,910.21 = 1,859.24 : x
  2. Step 2: Convert to fraction form
    3,939.32/5,910.21 = 1,859.24/x
  3. Step 3: Cross multiply
    3,939.32x = 5,910.21 × 1,859.24
  4. Step 4: Simplify right side
    3,939.32x = 10,988,513.62
  5. Step 5: Solve for x
    x = 10,988,513.62/3,939.32
  6. Step 6: Final answer
    x = 2,789.44

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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.