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Finding the Fourth Proportional to 5,192.38, 7,788.64 and 1,729.64

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Solution

The fourth proportional to 5,192.38, 7,788.64 and 1,729.64 is: 2,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.38 : 7,788.64 = 1,729.64 : x
  2. Step 2: Convert to fraction form
    5,192.38/7,788.64 = 1,729.64/x
  3. Step 3: Cross multiply
    5,192.38x = 7,788.64 × 1,729.64
  4. Step 4: Simplify right side
    5,192.38x = 13,471,543.29
  5. Step 5: Solve for x
    x = 13,471,543.29/5,192.38
  6. Step 6: Final answer
    x = 2,594.48

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