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Finding the Fourth Proportional to 4,774.40, 7,164.62 and 2,584.64

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Solution

The fourth proportional to 4,774.40, 7,164.62 and 2,584.64 is: 3,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.40 : 7,164.62 = 2,584.64 : x
  2. Step 2: Convert to fraction form
    4,774.40/7,164.62 = 2,584.64/x
  3. Step 3: Cross multiply
    4,774.40x = 7,164.62 × 2,584.64
  4. Step 4: Simplify right side
    4,774.40x = 18,517,963.44
  5. Step 5: Solve for x
    x = 18,517,963.44/4,774.40
  6. Step 6: Final answer
    x = 3,878.59

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