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Finding the Fourth Proportional to 5,584.56, 8,374.26 and 5,146.80

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Solution

The fourth proportional to 5,584.56, 8,374.26 and 5,146.80 is: 7,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.56 : 8,374.26 = 5,146.80 : x
  2. Step 2: Convert to fraction form
    5,584.56/8,374.26 = 5,146.80/x
  3. Step 3: Cross multiply
    5,584.56x = 8,374.26 × 5,146.80
  4. Step 4: Simplify right side
    5,584.56x = 43,100,641.37
  5. Step 5: Solve for x
    x = 43,100,641.37/5,584.56
  6. Step 6: Final answer
    x = 7,717.82

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