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Finding the Fourth Proportional to 3,205.62, 4,808.82 and 2,109.66

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Solution

The fourth proportional to 3,205.62, 4,808.82 and 2,109.66 is: 3,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.62 : 4,808.82 = 2,109.66 : x
  2. Step 2: Convert to fraction form
    3,205.62/4,808.82 = 2,109.66/x
  3. Step 3: Cross multiply
    3,205.62x = 4,808.82 × 2,109.66
  4. Step 4: Simplify right side
    3,205.62x = 10,144,975.20
  5. Step 5: Solve for x
    x = 10,144,975.20/3,205.62
  6. Step 6: Final answer
    x = 3,164.75

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