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Finding the Fourth Proportional to 3,200.22, 4,802.97 and 2,474.22

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Solution

The fourth proportional to 3,200.22, 4,802.97 and 2,474.22 is: 3,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.22 : 4,802.97 = 2,474.22 : x
  2. Step 2: Convert to fraction form
    3,200.22/4,802.97 = 2,474.22/x
  3. Step 3: Cross multiply
    3,200.22x = 4,802.97 × 2,474.22
  4. Step 4: Simplify right side
    3,200.22x = 11,883,604.43
  5. Step 5: Solve for x
    x = 11,883,604.43/3,200.22
  6. Step 6: Final answer
    x = 3,713.37

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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.