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Finding the Fourth Proportional to 3,772.38, 5,205.86 and 2,093.80

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Solution

The fourth proportional to 3,772.38, 5,205.86 and 2,093.80 is: 2,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.38 : 5,205.86 = 2,093.80 : x
  2. Step 2: Convert to fraction form
    3,772.38/5,205.86 = 2,093.80/x
  3. Step 3: Cross multiply
    3,772.38x = 5,205.86 × 2,093.80
  4. Step 4: Simplify right side
    3,772.38x = 10,900,029.67
  5. Step 5: Solve for x
    x = 10,900,029.67/3,772.38
  6. Step 6: Final answer
    x = 2,889.43

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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.