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Finding the Fourth Proportional to 3,733.38, 5,149.04 and 3,284.28

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Solution

The fourth proportional to 3,733.38, 5,149.04 and 3,284.28 is: 4,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.38 : 5,149.04 = 3,284.28 : x
  2. Step 2: Convert to fraction form
    3,733.38/5,149.04 = 3,284.28/x
  3. Step 3: Cross multiply
    3,733.38x = 5,149.04 × 3,284.28
  4. Step 4: Simplify right side
    3,733.38x = 16,910,872.67
  5. Step 5: Solve for x
    x = 16,910,872.67/3,733.38
  6. Step 6: Final answer
    x = 4,529.64

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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.