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Finding the Fourth Proportional to 4,481.88, 6,722.98 and 2,142.16

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Solution

The fourth proportional to 4,481.88, 6,722.98 and 2,142.16 is: 3,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.88 : 6,722.98 = 2,142.16 : x
  2. Step 2: Convert to fraction form
    4,481.88/6,722.98 = 2,142.16/x
  3. Step 3: Cross multiply
    4,481.88x = 6,722.98 × 2,142.16
  4. Step 4: Simplify right side
    4,481.88x = 14,401,698.84
  5. Step 5: Solve for x
    x = 14,401,698.84/4,481.88
  6. Step 6: Final answer
    x = 3,213.32

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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.