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Finding the Fourth Proportional to 5,498.28, 7,584.60 and 3,730.80

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Solution

The fourth proportional to 5,498.28, 7,584.60 and 3,730.80 is: 5,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.28 : 7,584.60 = 3,730.80 : x
  2. Step 2: Convert to fraction form
    5,498.28/7,584.60 = 3,730.80/x
  3. Step 3: Cross multiply
    5,498.28x = 7,584.60 × 3,730.80
  4. Step 4: Simplify right side
    5,498.28x = 28,296,625.68
  5. Step 5: Solve for x
    x = 28,296,625.68/5,498.28
  6. Step 6: Final answer
    x = 5,146.45

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