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Finding the Fourth Proportional to 3,788.52, 5,683.68 and 2,146.20

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Solution

The fourth proportional to 3,788.52, 5,683.68 and 2,146.20 is: 3,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.52 : 5,683.68 = 2,146.20 : x
  2. Step 2: Convert to fraction form
    3,788.52/5,683.68 = 2,146.20/x
  3. Step 3: Cross multiply
    3,788.52x = 5,683.68 × 2,146.20
  4. Step 4: Simplify right side
    3,788.52x = 12,198,314.02
  5. Step 5: Solve for x
    x = 12,198,314.02/3,788.52
  6. Step 6: Final answer
    x = 3,219.81

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