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Finding the Fourth Proportional to 3,525, 4,864.88 and 2,249.80

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Solution

The fourth proportional to 3,525, 4,864.88 and 2,249.80 is: 3,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525 : 4,864.88 = 2,249.80 : x
  2. Step 2: Convert to fraction form
    3,525/4,864.88 = 2,249.80/x
  3. Step 3: Cross multiply
    3,525x = 4,864.88 × 2,249.80
  4. Step 4: Simplify right side
    3,525x = 10,945,007.02
  5. Step 5: Solve for x
    x = 10,945,007.02/3,525
  6. Step 6: Final answer
    x = 3,104.97

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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.