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Finding the Fourth Proportional to 3,432.88, 5,149.78 and 1,584.41

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Solution

The fourth proportional to 3,432.88, 5,149.78 and 1,584.41 is: 2,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.88 : 5,149.78 = 1,584.41 : x
  2. Step 2: Convert to fraction form
    3,432.88/5,149.78 = 1,584.41/x
  3. Step 3: Cross multiply
    3,432.88x = 5,149.78 × 1,584.41
  4. Step 4: Simplify right side
    3,432.88x = 8,159,362.19
  5. Step 5: Solve for x
    x = 8,159,362.19/3,432.88
  6. Step 6: Final answer
    x = 2,376.83

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