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Finding the Fourth Proportional to 4,105.38, 5,664.02 and 2,336.55

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Solution

The fourth proportional to 4,105.38, 5,664.02 and 2,336.55 is: 3,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.38 : 5,664.02 = 2,336.55 : x
  2. Step 2: Convert to fraction form
    4,105.38/5,664.02 = 2,336.55/x
  3. Step 3: Cross multiply
    4,105.38x = 5,664.02 × 2,336.55
  4. Step 4: Simplify right side
    4,105.38x = 13,234,265.93
  5. Step 5: Solve for x
    x = 13,234,265.93/4,105.38
  6. Step 6: Final answer
    x = 3,223.64

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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.