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Finding the Fourth Proportional to 3,792.05, 5,685.64 and 1,600.19

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Solution

The fourth proportional to 3,792.05, 5,685.64 and 1,600.19 is: 2,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.05 : 5,685.64 = 1,600.19 : x
  2. Step 2: Convert to fraction form
    3,792.05/5,685.64 = 1,600.19/x
  3. Step 3: Cross multiply
    3,792.05x = 5,685.64 × 1,600.19
  4. Step 4: Simplify right side
    3,792.05x = 9,098,104.27
  5. Step 5: Solve for x
    x = 9,098,104.27/3,792.05
  6. Step 6: Final answer
    x = 2,399.26

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