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Finding the Fourth Proportional to 3,779.82, 5,674.59 and 3,206.34

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Solution

The fourth proportional to 3,779.82, 5,674.59 and 3,206.34 is: 4,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.82 : 5,674.59 = 3,206.34 : x
  2. Step 2: Convert to fraction form
    3,779.82/5,674.59 = 3,206.34/x
  3. Step 3: Cross multiply
    3,779.82x = 5,674.59 × 3,206.34
  4. Step 4: Simplify right side
    3,779.82x = 18,194,664.90
  5. Step 5: Solve for x
    x = 18,194,664.90/3,779.82
  6. Step 6: Final answer
    x = 4,813.63

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