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Finding the Fourth Proportional to 3,940.81, 5,910.39 and 1,859.92

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Solution

The fourth proportional to 3,940.81, 5,910.39 and 1,859.92 is: 2,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.81 : 5,910.39 = 1,859.92 : x
  2. Step 2: Convert to fraction form
    3,940.81/5,910.39 = 1,859.92/x
  3. Step 3: Cross multiply
    3,940.81x = 5,910.39 × 1,859.92
  4. Step 4: Simplify right side
    3,940.81x = 10,992,852.57
  5. Step 5: Solve for x
    x = 10,992,852.57/3,940.81
  6. Step 6: Final answer
    x = 2,789.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.