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Finding the Fourth Proportional to 5,282.96, 7,923.97 and 1,586.02

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Solution

The fourth proportional to 5,282.96, 7,923.97 and 1,586.02 is: 2,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.96 : 7,923.97 = 1,586.02 : x
  2. Step 2: Convert to fraction form
    5,282.96/7,923.97 = 1,586.02/x
  3. Step 3: Cross multiply
    5,282.96x = 7,923.97 × 1,586.02
  4. Step 4: Simplify right side
    5,282.96x = 12,567,527.35
  5. Step 5: Solve for x
    x = 12,567,527.35/5,282.96
  6. Step 6: Final answer
    x = 2,378.88

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