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Finding the Fourth Proportional to 4,198.14, 6,289.92 and 3,746.16

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Solution

The fourth proportional to 4,198.14, 6,289.92 and 3,746.16 is: 5,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.14 : 6,289.92 = 3,746.16 : x
  2. Step 2: Convert to fraction form
    4,198.14/6,289.92 = 3,746.16/x
  3. Step 3: Cross multiply
    4,198.14x = 6,289.92 × 3,746.16
  4. Step 4: Simplify right side
    4,198.14x = 23,563,046.71
  5. Step 5: Solve for x
    x = 23,563,046.71/4,198.14
  6. Step 6: Final answer
    x = 5,612.73

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