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Finding the Fourth Proportional to 4,003, 6,002.97 and 1,922.41

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Solution

The fourth proportional to 4,003, 6,002.97 and 1,922.41 is: 2,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003 : 6,002.97 = 1,922.41 : x
  2. Step 2: Convert to fraction form
    4,003/6,002.97 = 1,922.41/x
  3. Step 3: Cross multiply
    4,003x = 6,002.97 × 1,922.41
  4. Step 4: Simplify right side
    4,003x = 11,540,169.56
  5. Step 5: Solve for x
    x = 11,540,169.56/4,003
  6. Step 6: Final answer
    x = 2,882.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.