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Finding the Fourth Proportional to 3,826.68, 5,740.56 and 1,228.74

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Solution

The fourth proportional to 3,826.68, 5,740.56 and 1,228.74 is: 1,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.68 : 5,740.56 = 1,228.74 : x
  2. Step 2: Convert to fraction form
    3,826.68/5,740.56 = 1,228.74/x
  3. Step 3: Cross multiply
    3,826.68x = 5,740.56 × 1,228.74
  4. Step 4: Simplify right side
    3,826.68x = 7,053,655.69
  5. Step 5: Solve for x
    x = 7,053,655.69/3,826.68
  6. Step 6: Final answer
    x = 1,843.28

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