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Finding the Fourth Proportional to 3,667.16, 5,494.98 and 2,836.28

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Solution

The fourth proportional to 3,667.16, 5,494.98 and 2,836.28 is: 4,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.16 : 5,494.98 = 2,836.28 : x
  2. Step 2: Convert to fraction form
    3,667.16/5,494.98 = 2,836.28/x
  3. Step 3: Cross multiply
    3,667.16x = 5,494.98 × 2,836.28
  4. Step 4: Simplify right side
    3,667.16x = 15,585,301.87
  5. Step 5: Solve for x
    x = 15,585,301.87/3,667.16
  6. Step 6: Final answer
    x = 4,249.97

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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.