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Finding the Fourth Proportional to 3,770, 5,203.05 and 2,198.09

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Solution

The fourth proportional to 3,770, 5,203.05 and 2,198.09 is: 3,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770 : 5,203.05 = 2,198.09 : x
  2. Step 2: Convert to fraction form
    3,770/5,203.05 = 2,198.09/x
  3. Step 3: Cross multiply
    3,770x = 5,203.05 × 2,198.09
  4. Step 4: Simplify right side
    3,770x = 11,436,772.17
  5. Step 5: Solve for x
    x = 11,436,772.17/3,770
  6. Step 6: Final answer
    x = 3,033.63

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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.