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Finding the Fourth Proportional to 4,107.69, 6,122.49 and 3,874.17

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Solution

The fourth proportional to 4,107.69, 6,122.49 and 3,874.17 is: 5,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.69 : 6,122.49 = 3,874.17 : x
  2. Step 2: Convert to fraction form
    4,107.69/6,122.49 = 3,874.17/x
  3. Step 3: Cross multiply
    4,107.69x = 6,122.49 × 3,874.17
  4. Step 4: Simplify right side
    4,107.69x = 23,719,567.08
  5. Step 5: Solve for x
    x = 23,719,567.08/4,107.69
  6. Step 6: Final answer
    x = 5,774.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.