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Finding the Fourth Proportional to 4,664.38, 6,436.02 and 3,778.66

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Solution

The fourth proportional to 4,664.38, 6,436.02 and 3,778.66 is: 5,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.38 : 6,436.02 = 3,778.66 : x
  2. Step 2: Convert to fraction form
    4,664.38/6,436.02 = 3,778.66/x
  3. Step 3: Cross multiply
    4,664.38x = 6,436.02 × 3,778.66
  4. Step 4: Simplify right side
    4,664.38x = 24,319,531.33
  5. Step 5: Solve for x
    x = 24,319,531.33/4,664.38
  6. Step 6: Final answer
    x = 5,213.88

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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.