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Finding the Fourth Proportional to 4,481.88, 6,723 and 2,142.12

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Solution

The fourth proportional to 4,481.88, 6,723 and 2,142.12 is: 3,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.88 : 6,723 = 2,142.12 : x
  2. Step 2: Convert to fraction form
    4,481.88/6,723 = 2,142.12/x
  3. Step 3: Cross multiply
    4,481.88x = 6,723 × 2,142.12
  4. Step 4: Simplify right side
    4,481.88x = 14,401,472.76
  5. Step 5: Solve for x
    x = 14,401,472.76/4,481.88
  6. Step 6: Final answer
    x = 3,213.27

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