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Finding the Fourth Proportional to 5,283.44, 7,924.20 and 1,584.80

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Solution

The fourth proportional to 5,283.44, 7,924.20 and 1,584.80 is: 2,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.44 : 7,924.20 = 1,584.80 : x
  2. Step 2: Convert to fraction form
    5,283.44/7,924.20 = 1,584.80/x
  3. Step 3: Cross multiply
    5,283.44x = 7,924.20 × 1,584.80
  4. Step 4: Simplify right side
    5,283.44x = 12,558,272.16
  5. Step 5: Solve for x
    x = 12,558,272.16/5,283.44
  6. Step 6: Final answer
    x = 2,376.91

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