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Finding the Fourth Proportional to 3,831.42, 5,745.24 and 1,638.90

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Solution

The fourth proportional to 3,831.42, 5,745.24 and 1,638.90 is: 2,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.42 : 5,745.24 = 1,638.90 : x
  2. Step 2: Convert to fraction form
    3,831.42/5,745.24 = 1,638.90/x
  3. Step 3: Cross multiply
    3,831.42x = 5,745.24 × 1,638.90
  4. Step 4: Simplify right side
    3,831.42x = 9,415,873.84
  5. Step 5: Solve for x
    x = 9,415,873.84/3,831.42
  6. Step 6: Final answer
    x = 2,457.54

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