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Finding the Fourth Proportional to 3,780.62, 5,667.28 and 1,831.76

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Solution

The fourth proportional to 3,780.62, 5,667.28 and 1,831.76 is: 2,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.62 : 5,667.28 = 1,831.76 : x
  2. Step 2: Convert to fraction form
    3,780.62/5,667.28 = 1,831.76/x
  3. Step 3: Cross multiply
    3,780.62x = 5,667.28 × 1,831.76
  4. Step 4: Simplify right side
    3,780.62x = 10,381,063.90
  5. Step 5: Solve for x
    x = 10,381,063.90/3,780.62
  6. Step 6: Final answer
    x = 2,745.87

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