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Finding the Fourth Proportional to 3,671.95, 5,067.19 and 2,099.94

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Solution

The fourth proportional to 3,671.95, 5,067.19 and 2,099.94 is: 2,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.95 : 5,067.19 = 2,099.94 : x
  2. Step 2: Convert to fraction form
    3,671.95/5,067.19 = 2,099.94/x
  3. Step 3: Cross multiply
    3,671.95x = 5,067.19 × 2,099.94
  4. Step 4: Simplify right side
    3,671.95x = 10,640,794.97
  5. Step 5: Solve for x
    x = 10,640,794.97/3,671.95
  6. Step 6: Final answer
    x = 2,897.86

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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.