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Finding the Fourth Proportional to 3,767, 5,198.46 and 2,295

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Solution

The fourth proportional to 3,767, 5,198.46 and 2,295 is: 3,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767 : 5,198.46 = 2,295 : x
  2. Step 2: Convert to fraction form
    3,767/5,198.46 = 2,295/x
  3. Step 3: Cross multiply
    3,767x = 5,198.46 × 2,295
  4. Step 4: Simplify right side
    3,767x = 11,930,465.70
  5. Step 5: Solve for x
    x = 11,930,465.70/3,767
  6. Step 6: Final answer
    x = 3,167.10

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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.