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Finding the Fourth Proportional to 5,194.08, 7,790.64 and 1,298.48

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Solution

The fourth proportional to 5,194.08, 7,790.64 and 1,298.48 is: 1,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.08 : 7,790.64 = 1,298.48 : x
  2. Step 2: Convert to fraction form
    5,194.08/7,790.64 = 1,298.48/x
  3. Step 3: Cross multiply
    5,194.08x = 7,790.64 × 1,298.48
  4. Step 4: Simplify right side
    5,194.08x = 10,115,951.27
  5. Step 5: Solve for x
    x = 10,115,951.27/5,194.08
  6. Step 6: Final answer
    x = 1,947.59

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