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Finding the Fourth Proportional to 3,766.82, 5,198.46 and 3,465.50

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Solution

The fourth proportional to 3,766.82, 5,198.46 and 3,465.50 is: 4,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.82 : 5,198.46 = 3,465.50 : x
  2. Step 2: Convert to fraction form
    3,766.82/5,198.46 = 3,465.50/x
  3. Step 3: Cross multiply
    3,766.82x = 5,198.46 × 3,465.50
  4. Step 4: Simplify right side
    3,766.82x = 18,015,263.13
  5. Step 5: Solve for x
    x = 18,015,263.13/3,766.82
  6. Step 6: Final answer
    x = 4,782.62

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