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Finding the Fourth Proportional to 3,662, 5,493 and 926

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Solution

The fourth proportional to 3,662, 5,493 and 926 is: 1,389

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662 : 5,493 = 926 : x
  2. Step 2: Convert to fraction form
    3,662/5,493 = 926/x
  3. Step 3: Cross multiply
    3,662x = 5,493 × 926
  4. Step 4: Simplify right side
    3,662x = 5,086,518
  5. Step 5: Solve for x
    x = 5,086,518/3,662
  6. Step 6: Final answer
    x = 1,389

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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.