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Finding the Fourth Proportional to 4,466.57, 6,158.01 and 3,843.78

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Solution

The fourth proportional to 4,466.57, 6,158.01 and 3,843.78 is: 5,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.57 : 6,158.01 = 3,843.78 : x
  2. Step 2: Convert to fraction form
    4,466.57/6,158.01 = 3,843.78/x
  3. Step 3: Cross multiply
    4,466.57x = 6,158.01 × 3,843.78
  4. Step 4: Simplify right side
    4,466.57x = 23,670,035.68
  5. Step 5: Solve for x
    x = 23,670,035.68/4,466.57
  6. Step 6: Final answer
    x = 5,299.38

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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.