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Finding the Fourth Proportional to 5,480.84, 8,222.47 and 1,584.95

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Solution

The fourth proportional to 5,480.84, 8,222.47 and 1,584.95 is: 2,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.84 : 8,222.47 = 1,584.95 : x
  2. Step 2: Convert to fraction form
    5,480.84/8,222.47 = 1,584.95/x
  3. Step 3: Cross multiply
    5,480.84x = 8,222.47 × 1,584.95
  4. Step 4: Simplify right side
    5,480.84x = 13,032,162.71
  5. Step 5: Solve for x
    x = 13,032,162.71/5,480.84
  6. Step 6: Final answer
    x = 2,377.77

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