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Finding the Fourth Proportional to 3,734.80, 5,601.57 and 1,066.20

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Solution

The fourth proportional to 3,734.80, 5,601.57 and 1,066.20 is: 1,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.80 : 5,601.57 = 1,066.20 : x
  2. Step 2: Convert to fraction form
    3,734.80/5,601.57 = 1,066.20/x
  3. Step 3: Cross multiply
    3,734.80x = 5,601.57 × 1,066.20
  4. Step 4: Simplify right side
    3,734.80x = 5,972,393.93
  5. Step 5: Solve for x
    x = 5,972,393.93/3,734.80
  6. Step 6: Final answer
    x = 1,599.12

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