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Finding the Fourth Proportional to 3,664.56, 5,496.20 and 1,066.89

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Solution

The fourth proportional to 3,664.56, 5,496.20 and 1,066.89 is: 1,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.56 : 5,496.20 = 1,066.89 : x
  2. Step 2: Convert to fraction form
    3,664.56/5,496.20 = 1,066.89/x
  3. Step 3: Cross multiply
    3,664.56x = 5,496.20 × 1,066.89
  4. Step 4: Simplify right side
    3,664.56x = 5,863,835.48
  5. Step 5: Solve for x
    x = 5,863,835.48/3,664.56
  6. Step 6: Final answer
    x = 1,600.15

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