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Finding the Fourth Proportional to 3,221.62, 4,450 and 2,664.34

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Solution

The fourth proportional to 3,221.62, 4,450 and 2,664.34 is: 3,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.62 : 4,450 = 2,664.34 : x
  2. Step 2: Convert to fraction form
    3,221.62/4,450 = 2,664.34/x
  3. Step 3: Cross multiply
    3,221.62x = 4,450 × 2,664.34
  4. Step 4: Simplify right side
    3,221.62x = 11,856,313
  5. Step 5: Solve for x
    x = 11,856,313/3,221.62
  6. Step 6: Final answer
    x = 3,680.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.