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Finding the Fourth Proportional to 3,894.13, 5,834.17 and 2,137.24

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Solution

The fourth proportional to 3,894.13, 5,834.17 and 2,137.24 is: 3,202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.13 : 5,834.17 = 2,137.24 : x
  2. Step 2: Convert to fraction form
    3,894.13/5,834.17 = 2,137.24/x
  3. Step 3: Cross multiply
    3,894.13x = 5,834.17 × 2,137.24
  4. Step 4: Simplify right side
    3,894.13x = 12,469,021.49
  5. Step 5: Solve for x
    x = 12,469,021.49/3,894.13
  6. Step 6: Final answer
    x = 3,202.00

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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.