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Finding the Fourth Proportional to 5,480.40, 8,221.80 and 1,584.66

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Solution

The fourth proportional to 5,480.40, 8,221.80 and 1,584.66 is: 2,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.40 : 8,221.80 = 1,584.66 : x
  2. Step 2: Convert to fraction form
    5,480.40/8,221.80 = 1,584.66/x
  3. Step 3: Cross multiply
    5,480.40x = 8,221.80 × 1,584.66
  4. Step 4: Simplify right side
    5,480.40x = 13,028,757.59
  5. Step 5: Solve for x
    x = 13,028,757.59/5,480.40
  6. Step 6: Final answer
    x = 2,377.34

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