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Finding the Fourth Proportional to 3,671.96, 5,067.41 and 1,993.47

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Solution

The fourth proportional to 3,671.96, 5,067.41 and 1,993.47 is: 2,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.96 : 5,067.41 = 1,993.47 : x
  2. Step 2: Convert to fraction form
    3,671.96/5,067.41 = 1,993.47/x
  3. Step 3: Cross multiply
    3,671.96x = 5,067.41 × 1,993.47
  4. Step 4: Simplify right side
    3,671.96x = 10,101,719.85
  5. Step 5: Solve for x
    x = 10,101,719.85/3,671.96
  6. Step 6: Final answer
    x = 2,751.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.