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Finding the Fourth Proportional to 4,564.64, 6,848.56 and 2,225.36

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Solution

The fourth proportional to 4,564.64, 6,848.56 and 2,225.36 is: 3,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.64 : 6,848.56 = 2,225.36 : x
  2. Step 2: Convert to fraction form
    4,564.64/6,848.56 = 2,225.36/x
  3. Step 3: Cross multiply
    4,564.64x = 6,848.56 × 2,225.36
  4. Step 4: Simplify right side
    4,564.64x = 15,240,511.48
  5. Step 5: Solve for x
    x = 15,240,511.48/4,564.64
  6. Step 6: Final answer
    x = 3,338.82

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