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Finding the Fourth Proportional to 4,229.19, 5,837.92 and 3,786.32

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Solution

The fourth proportional to 4,229.19, 5,837.92 and 3,786.32 is: 5,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.19 : 5,837.92 = 3,786.32 : x
  2. Step 2: Convert to fraction form
    4,229.19/5,837.92 = 3,786.32/x
  3. Step 3: Cross multiply
    4,229.19x = 5,837.92 × 3,786.32
  4. Step 4: Simplify right side
    4,229.19x = 22,104,238.38
  5. Step 5: Solve for x
    x = 22,104,238.38/4,229.19
  6. Step 6: Final answer
    x = 5,226.59

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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.