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Finding the Fourth Proportional to 3,819.06, 5,728.80 and 1,186.81

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Solution

The fourth proportional to 3,819.06, 5,728.80 and 1,186.81 is: 1,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.06 : 5,728.80 = 1,186.81 : x
  2. Step 2: Convert to fraction form
    3,819.06/5,728.80 = 1,186.81/x
  3. Step 3: Cross multiply
    3,819.06x = 5,728.80 × 1,186.81
  4. Step 4: Simplify right side
    3,819.06x = 6,798,997.13
  5. Step 5: Solve for x
    x = 6,798,997.13/3,819.06
  6. Step 6: Final answer
    x = 1,780.28

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