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Finding the Fourth Proportional to 5,218.22, 7,829.88 and 2,296.16

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Solution

The fourth proportional to 5,218.22, 7,829.88 and 2,296.16 is: 3,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.22 : 7,829.88 = 2,296.16 : x
  2. Step 2: Convert to fraction form
    5,218.22/7,829.88 = 2,296.16/x
  3. Step 3: Cross multiply
    5,218.22x = 7,829.88 × 2,296.16
  4. Step 4: Simplify right side
    5,218.22x = 17,978,657.26
  5. Step 5: Solve for x
    x = 17,978,657.26/5,218.22
  6. Step 6: Final answer
    x = 3,445.36

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