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Finding the Fourth Proportional to 3,666, 5,499 and 1,234

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Solution

The fourth proportional to 3,666, 5,499 and 1,234 is: 1,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666 : 5,499 = 1,234 : x
  2. Step 2: Convert to fraction form
    3,666/5,499 = 1,234/x
  3. Step 3: Cross multiply
    3,666x = 5,499 × 1,234
  4. Step 4: Simplify right side
    3,666x = 6,785,766
  5. Step 5: Solve for x
    x = 6,785,766/3,666
  6. Step 6: Final answer
    x = 1,851

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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.