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Finding the Fourth Proportional to 4,002, 5,523.75 and 2,727.99

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Solution

The fourth proportional to 4,002, 5,523.75 and 2,727.99 is: 3,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 5,523.75 = 2,727.99 : x
  2. Step 2: Convert to fraction form
    4,002/5,523.75 = 2,727.99/x
  3. Step 3: Cross multiply
    4,002x = 5,523.75 × 2,727.99
  4. Step 4: Simplify right side
    4,002x = 15,068,734.76
  5. Step 5: Solve for x
    x = 15,068,734.76/4,002
  6. Step 6: Final answer
    x = 3,765.30

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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.