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Finding the Fourth Proportional to 3,625.98, 5,003.94 and 2,209.74

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Solution

The fourth proportional to 3,625.98, 5,003.94 and 2,209.74 is: 3,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.98 : 5,003.94 = 2,209.74 : x
  2. Step 2: Convert to fraction form
    3,625.98/5,003.94 = 2,209.74/x
  3. Step 3: Cross multiply
    3,625.98x = 5,003.94 × 2,209.74
  4. Step 4: Simplify right side
    3,625.98x = 11,057,406.38
  5. Step 5: Solve for x
    x = 11,057,406.38/3,625.98
  6. Step 6: Final answer
    x = 3,049.49

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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.