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Finding the Fourth Proportional to 5,047.67, 7,572.71 and 1,584.92

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Solution

The fourth proportional to 5,047.67, 7,572.71 and 1,584.92 is: 2,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.67 : 7,572.71 = 1,584.92 : x
  2. Step 2: Convert to fraction form
    5,047.67/7,572.71 = 1,584.92/x
  3. Step 3: Cross multiply
    5,047.67x = 7,572.71 × 1,584.92
  4. Step 4: Simplify right side
    5,047.67x = 12,002,153.51
  5. Step 5: Solve for x
    x = 12,002,153.51/5,047.67
  6. Step 6: Final answer
    x = 2,377.76

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