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Finding the Fourth Proportional to 4,112.50, 5,675.34 and 2,249.50

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Solution

The fourth proportional to 4,112.50, 5,675.34 and 2,249.50 is: 3,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.50 : 5,675.34 = 2,249.50 : x
  2. Step 2: Convert to fraction form
    4,112.50/5,675.34 = 2,249.50/x
  3. Step 3: Cross multiply
    4,112.50x = 5,675.34 × 2,249.50
  4. Step 4: Simplify right side
    4,112.50x = 12,766,677.33
  5. Step 5: Solve for x
    x = 12,766,677.33/4,112.50
  6. Step 6: Final answer
    x = 3,104.36

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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.