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Finding the Fourth Proportional to 3,928.59, 5,892.81 and 1,588.57

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Solution

The fourth proportional to 3,928.59, 5,892.81 and 1,588.57 is: 2,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.59 : 5,892.81 = 1,588.57 : x
  2. Step 2: Convert to fraction form
    3,928.59/5,892.81 = 1,588.57/x
  3. Step 3: Cross multiply
    3,928.59x = 5,892.81 × 1,588.57
  4. Step 4: Simplify right side
    3,928.59x = 9,361,114.65
  5. Step 5: Solve for x
    x = 9,361,114.65/3,928.59
  6. Step 6: Final answer
    x = 2,382.82

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