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Finding the Fourth Proportional to 3,782.83, 5,678.32 and 3,200.54

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Solution

The fourth proportional to 3,782.83, 5,678.32 and 3,200.54 is: 4,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.83 : 5,678.32 = 3,200.54 : x
  2. Step 2: Convert to fraction form
    3,782.83/5,678.32 = 3,200.54/x
  3. Step 3: Cross multiply
    3,782.83x = 5,678.32 × 3,200.54
  4. Step 4: Simplify right side
    3,782.83x = 18,173,661.90
  5. Step 5: Solve for x
    x = 18,173,661.90/3,782.83
  6. Step 6: Final answer
    x = 4,804.26

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