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Finding the Fourth Proportional to 3,286.49, 4,535.37 and 1,794.44

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Solution

The fourth proportional to 3,286.49, 4,535.37 and 1,794.44 is: 2,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.49 : 4,535.37 = 1,794.44 : x
  2. Step 2: Convert to fraction form
    3,286.49/4,535.37 = 1,794.44/x
  3. Step 3: Cross multiply
    3,286.49x = 4,535.37 × 1,794.44
  4. Step 4: Simplify right side
    3,286.49x = 8,138,449.34
  5. Step 5: Solve for x
    x = 8,138,449.34/3,286.49
  6. Step 6: Final answer
    x = 2,476.33

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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.