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Finding the Fourth Proportional to 4,564.40, 6,844.60 and 2,098.40

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Solution

The fourth proportional to 4,564.40, 6,844.60 and 2,098.40 is: 3,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.40 : 6,844.60 = 2,098.40 : x
  2. Step 2: Convert to fraction form
    4,564.40/6,844.60 = 2,098.40/x
  3. Step 3: Cross multiply
    4,564.40x = 6,844.60 × 2,098.40
  4. Step 4: Simplify right side
    4,564.40x = 14,362,708.64
  5. Step 5: Solve for x
    x = 14,362,708.64/4,564.40
  6. Step 6: Final answer
    x = 3,146.68

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