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Finding the Fourth Proportional to 3,829.76, 5,284.64 and 2,150.78

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Solution

The fourth proportional to 3,829.76, 5,284.64 and 2,150.78 is: 2,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.76 : 5,284.64 = 2,150.78 : x
  2. Step 2: Convert to fraction form
    3,829.76/5,284.64 = 2,150.78/x
  3. Step 3: Cross multiply
    3,829.76x = 5,284.64 × 2,150.78
  4. Step 4: Simplify right side
    3,829.76x = 11,366,091.84
  5. Step 5: Solve for x
    x = 11,366,091.84/3,829.76
  6. Step 6: Final answer
    x = 2,967.84

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