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Finding the Fourth Proportional to 3,982.94, 5,973.82 and 1,350.41

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Solution

The fourth proportional to 3,982.94, 5,973.82 and 1,350.41 is: 2,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.94 : 5,973.82 = 1,350.41 : x
  2. Step 2: Convert to fraction form
    3,982.94/5,973.82 = 1,350.41/x
  3. Step 3: Cross multiply
    3,982.94x = 5,973.82 × 1,350.41
  4. Step 4: Simplify right side
    3,982.94x = 8,067,073.02
  5. Step 5: Solve for x
    x = 8,067,073.02/3,982.94
  6. Step 6: Final answer
    x = 2,025.41

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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.