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Finding the Fourth Proportional to 3,831.94, 5,746.71 and 2,540.26

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Solution

The fourth proportional to 3,831.94, 5,746.71 and 2,540.26 is: 3,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.94 : 5,746.71 = 2,540.26 : x
  2. Step 2: Convert to fraction form
    3,831.94/5,746.71 = 2,540.26/x
  3. Step 3: Cross multiply
    3,831.94x = 5,746.71 × 2,540.26
  4. Step 4: Simplify right side
    3,831.94x = 14,598,137.54
  5. Step 5: Solve for x
    x = 14,598,137.54/3,831.94
  6. Step 6: Final answer
    x = 3,809.59

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