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Finding the Fourth Proportional to 4,414, 6,091.38 and 2,842.24

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Solution

The fourth proportional to 4,414, 6,091.38 and 2,842.24 is: 3,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414 : 6,091.38 = 2,842.24 : x
  2. Step 2: Convert to fraction form
    4,414/6,091.38 = 2,842.24/x
  3. Step 3: Cross multiply
    4,414x = 6,091.38 × 2,842.24
  4. Step 4: Simplify right side
    4,414x = 17,313,163.89
  5. Step 5: Solve for x
    x = 17,313,163.89/4,414
  6. Step 6: Final answer
    x = 3,922.33

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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.