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Finding the Fourth Proportional to 5,095.20, 7,640.49 and 1,584.18

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Solution

The fourth proportional to 5,095.20, 7,640.49 and 1,584.18 is: 2,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.20 : 7,640.49 = 1,584.18 : x
  2. Step 2: Convert to fraction form
    5,095.20/7,640.49 = 1,584.18/x
  3. Step 3: Cross multiply
    5,095.20x = 7,640.49 × 1,584.18
  4. Step 4: Simplify right side
    5,095.20x = 12,103,911.45
  5. Step 5: Solve for x
    x = 12,103,911.45/5,095.20
  6. Step 6: Final answer
    x = 2,375.55

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