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Finding the Fourth Proportional to 4,467, 6,165 and 2,604

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Solution

The fourth proportional to 4,467, 6,165 and 2,604 is: 3,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467 : 6,165 = 2,604 : x
  2. Step 2: Convert to fraction form
    4,467/6,165 = 2,604/x
  3. Step 3: Cross multiply
    4,467x = 6,165 × 2,604
  4. Step 4: Simplify right side
    4,467x = 16,053,660
  5. Step 5: Solve for x
    x = 16,053,660/4,467
  6. Step 6: Final answer
    x = 3,593.83

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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.