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Finding the Fourth Proportional to 4,107, 5,667.66 and 2,244

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Solution

The fourth proportional to 4,107, 5,667.66 and 2,244 is: 3,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107 : 5,667.66 = 2,244 : x
  2. Step 2: Convert to fraction form
    4,107/5,667.66 = 2,244/x
  3. Step 3: Cross multiply
    4,107x = 5,667.66 × 2,244
  4. Step 4: Simplify right side
    4,107x = 12,718,229.04
  5. Step 5: Solve for x
    x = 12,718,229.04/4,107
  6. Step 6: Final answer
    x = 3,096.72

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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.