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Finding the Fourth Proportional to 3,546.81, 5,320.80 and 1,206.97

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Solution

The fourth proportional to 3,546.81, 5,320.80 and 1,206.97 is: 1,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.81 : 5,320.80 = 1,206.97 : x
  2. Step 2: Convert to fraction form
    3,546.81/5,320.80 = 1,206.97/x
  3. Step 3: Cross multiply
    3,546.81x = 5,320.80 × 1,206.97
  4. Step 4: Simplify right side
    3,546.81x = 6,422,032.67
  5. Step 5: Solve for x
    x = 6,422,032.67/3,546.81
  6. Step 6: Final answer
    x = 1,810.65

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