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Finding the Fourth Proportional to 3,378.39, 4,664.24 and 3,169.23

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Solution

The fourth proportional to 3,378.39, 4,664.24 and 3,169.23 is: 4,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.39 : 4,664.24 = 3,169.23 : x
  2. Step 2: Convert to fraction form
    3,378.39/4,664.24 = 3,169.23/x
  3. Step 3: Cross multiply
    3,378.39x = 4,664.24 × 3,169.23
  4. Step 4: Simplify right side
    3,378.39x = 14,782,033.49
  5. Step 5: Solve for x
    x = 14,782,033.49/3,378.39
  6. Step 6: Final answer
    x = 4,375.47

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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.