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Finding the Fourth Proportional to 3,830.83, 5,742.16 and 2,183.83

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Solution

The fourth proportional to 3,830.83, 5,742.16 and 2,183.83 is: 3,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.83 : 5,742.16 = 2,183.83 : x
  2. Step 2: Convert to fraction form
    3,830.83/5,742.16 = 2,183.83/x
  3. Step 3: Cross multiply
    3,830.83x = 5,742.16 × 2,183.83
  4. Step 4: Simplify right side
    3,830.83x = 12,539,881.46
  5. Step 5: Solve for x
    x = 12,539,881.46/3,830.83
  6. Step 6: Final answer
    x = 3,273.41

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