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Finding the Fourth Proportional to 4,564.22, 6,844.91 and 1,642.14

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Solution

The fourth proportional to 4,564.22, 6,844.91 and 1,642.14 is: 2,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.22 : 6,844.91 = 1,642.14 : x
  2. Step 2: Convert to fraction form
    4,564.22/6,844.91 = 1,642.14/x
  3. Step 3: Cross multiply
    4,564.22x = 6,844.91 × 1,642.14
  4. Step 4: Simplify right side
    4,564.22x = 11,240,292.30
  5. Step 5: Solve for x
    x = 11,240,292.30/4,564.22
  6. Step 6: Final answer
    x = 2,462.70

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