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Finding the Fourth Proportional to 3,384.77, 5,078.39 and 1,742.09

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Solution

The fourth proportional to 3,384.77, 5,078.39 and 1,742.09 is: 2,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.77 : 5,078.39 = 1,742.09 : x
  2. Step 2: Convert to fraction form
    3,384.77/5,078.39 = 1,742.09/x
  3. Step 3: Cross multiply
    3,384.77x = 5,078.39 × 1,742.09
  4. Step 4: Simplify right side
    3,384.77x = 8,846,978.33
  5. Step 5: Solve for x
    x = 8,846,978.33/3,384.77
  6. Step 6: Final answer
    x = 2,613.76

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