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Finding the Fourth Proportional to 3,783.88, 5,209.65 and 3,286.33

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Solution

The fourth proportional to 3,783.88, 5,209.65 and 3,286.33 is: 4,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.88 : 5,209.65 = 3,286.33 : x
  2. Step 2: Convert to fraction form
    3,783.88/5,209.65 = 3,286.33/x
  3. Step 3: Cross multiply
    3,783.88x = 5,209.65 × 3,286.33
  4. Step 4: Simplify right side
    3,783.88x = 17,120,629.08
  5. Step 5: Solve for x
    x = 17,120,629.08/3,783.88
  6. Step 6: Final answer
    x = 4,524.62

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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.