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Finding the Fourth Proportional to 5,232.75, 7,849.13 and 1,584.75

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Solution

The fourth proportional to 5,232.75, 7,849.13 and 1,584.75 is: 2,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.75 : 7,849.13 = 1,584.75 : x
  2. Step 2: Convert to fraction form
    5,232.75/7,849.13 = 1,584.75/x
  3. Step 3: Cross multiply
    5,232.75x = 7,849.13 × 1,584.75
  4. Step 4: Simplify right side
    5,232.75x = 12,438,900.84
  5. Step 5: Solve for x
    x = 12,438,900.84/5,232.75
  6. Step 6: Final answer
    x = 2,377.13

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