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Finding the Fourth Proportional to 3,794, 5,691.96 and 1,058

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Solution

The fourth proportional to 3,794, 5,691.96 and 1,058 is: 1,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794 : 5,691.96 = 1,058 : x
  2. Step 2: Convert to fraction form
    3,794/5,691.96 = 1,058/x
  3. Step 3: Cross multiply
    3,794x = 5,691.96 × 1,058
  4. Step 4: Simplify right side
    3,794x = 6,022,093.68
  5. Step 5: Solve for x
    x = 6,022,093.68/3,794
  6. Step 6: Final answer
    x = 1,587.27

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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.