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Finding the Fourth Proportional to 5,871.97, 8,103.33 and 3,219.38

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Solution

The fourth proportional to 5,871.97, 8,103.33 and 3,219.38 is: 4,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.97 : 8,103.33 = 3,219.38 : x
  2. Step 2: Convert to fraction form
    5,871.97/8,103.33 = 3,219.38/x
  3. Step 3: Cross multiply
    5,871.97x = 8,103.33 × 3,219.38
  4. Step 4: Simplify right side
    5,871.97x = 26,087,698.54
  5. Step 5: Solve for x
    x = 26,087,698.54/5,871.97
  6. Step 6: Final answer
    x = 4,442.75

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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.