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Finding the Fourth Proportional to 3,363.94, 4,644.39 and 3,200.26

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Solution

The fourth proportional to 3,363.94, 4,644.39 and 3,200.26 is: 4,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.94 : 4,644.39 = 3,200.26 : x
  2. Step 2: Convert to fraction form
    3,363.94/4,644.39 = 3,200.26/x
  3. Step 3: Cross multiply
    3,363.94x = 4,644.39 × 3,200.26
  4. Step 4: Simplify right side
    3,363.94x = 14,863,255.54
  5. Step 5: Solve for x
    x = 14,863,255.54/3,363.94
  6. Step 6: Final answer
    x = 4,418.41

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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.