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Finding the Fourth Proportional to 3,831.48, 5,748.28 and 1,524.60

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Solution

The fourth proportional to 3,831.48, 5,748.28 and 1,524.60 is: 2,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.48 : 5,748.28 = 1,524.60 : x
  2. Step 2: Convert to fraction form
    3,831.48/5,748.28 = 1,524.60/x
  3. Step 3: Cross multiply
    3,831.48x = 5,748.28 × 1,524.60
  4. Step 4: Simplify right side
    3,831.48x = 8,763,827.69
  5. Step 5: Solve for x
    x = 8,763,827.69/3,831.48
  6. Step 6: Final answer
    x = 2,287.32

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