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Finding the Fourth Proportional to 3,827.80, 5,742.60 and 1,230.76

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Solution

The fourth proportional to 3,827.80, 5,742.60 and 1,230.76 is: 1,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.80 : 5,742.60 = 1,230.76 : x
  2. Step 2: Convert to fraction form
    3,827.80/5,742.60 = 1,230.76/x
  3. Step 3: Cross multiply
    3,827.80x = 5,742.60 × 1,230.76
  4. Step 4: Simplify right side
    3,827.80x = 7,067,762.38
  5. Step 5: Solve for x
    x = 7,067,762.38/3,827.80
  6. Step 6: Final answer
    x = 1,846.43

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