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Finding the Fourth Proportional to 3,829.37, 5,738.60 and 1,605.78

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Solution

The fourth proportional to 3,829.37, 5,738.60 and 1,605.78 is: 2,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.37 : 5,738.60 = 1,605.78 : x
  2. Step 2: Convert to fraction form
    3,829.37/5,738.60 = 1,605.78/x
  3. Step 3: Cross multiply
    3,829.37x = 5,738.60 × 1,605.78
  4. Step 4: Simplify right side
    3,829.37x = 9,214,921.08
  5. Step 5: Solve for x
    x = 9,214,921.08/3,829.37
  6. Step 6: Final answer
    x = 2,406.38

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