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Finding the Fourth Proportional to 3,828.78, 5,743.16 and 1,055.47

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Solution

The fourth proportional to 3,828.78, 5,743.16 and 1,055.47 is: 1,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.78 : 5,743.16 = 1,055.47 : x
  2. Step 2: Convert to fraction form
    3,828.78/5,743.16 = 1,055.47/x
  3. Step 3: Cross multiply
    3,828.78x = 5,743.16 × 1,055.47
  4. Step 4: Simplify right side
    3,828.78x = 6,061,733.09
  5. Step 5: Solve for x
    x = 6,061,733.09/3,828.78
  6. Step 6: Final answer
    x = 1,583.20

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