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Finding the Fourth Proportional to 4,548.67, 6,823.65 and 2,206.75

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Solution

The fourth proportional to 4,548.67, 6,823.65 and 2,206.75 is: 3,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.67 : 6,823.65 = 2,206.75 : x
  2. Step 2: Convert to fraction form
    4,548.67/6,823.65 = 2,206.75/x
  3. Step 3: Cross multiply
    4,548.67x = 6,823.65 × 2,206.75
  4. Step 4: Simplify right side
    4,548.67x = 15,058,089.64
  5. Step 5: Solve for x
    x = 15,058,089.64/4,548.67
  6. Step 6: Final answer
    x = 3,310.44

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