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Finding the Fourth Proportional to 3,798.41, 5,694.22 and 2,044.35

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Solution

The fourth proportional to 3,798.41, 5,694.22 and 2,044.35 is: 3,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.41 : 5,694.22 = 2,044.35 : x
  2. Step 2: Convert to fraction form
    3,798.41/5,694.22 = 2,044.35/x
  3. Step 3: Cross multiply
    3,798.41x = 5,694.22 × 2,044.35
  4. Step 4: Simplify right side
    3,798.41x = 11,640,978.66
  5. Step 5: Solve for x
    x = 11,640,978.66/3,798.41
  6. Step 6: Final answer
    x = 3,064.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.