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Finding the Fourth Proportional to 3,928.84, 5,892.53 and 1,588.75

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Solution

The fourth proportional to 3,928.84, 5,892.53 and 1,588.75 is: 2,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.84 : 5,892.53 = 1,588.75 : x
  2. Step 2: Convert to fraction form
    3,928.84/5,892.53 = 1,588.75/x
  3. Step 3: Cross multiply
    3,928.84x = 5,892.53 × 1,588.75
  4. Step 4: Simplify right side
    3,928.84x = 9,361,757.04
  5. Step 5: Solve for x
    x = 9,361,757.04/3,928.84
  6. Step 6: Final answer
    x = 2,382.83

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