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Finding the Fourth Proportional to 3,831.48, 5,745.78 and 1,365.63

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Solution

The fourth proportional to 3,831.48, 5,745.78 and 1,365.63 is: 2,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.48 : 5,745.78 = 1,365.63 : x
  2. Step 2: Convert to fraction form
    3,831.48/5,745.78 = 1,365.63/x
  3. Step 3: Cross multiply
    3,831.48x = 5,745.78 × 1,365.63
  4. Step 4: Simplify right side
    3,831.48x = 7,846,609.54
  5. Step 5: Solve for x
    x = 7,846,609.54/3,831.48
  6. Step 6: Final answer
    x = 2,047.93

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