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Finding the Fourth Proportional to 5,047.29, 7,572.14 and 1,584.54

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Solution

The fourth proportional to 5,047.29, 7,572.14 and 1,584.54 is: 2,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.29 : 7,572.14 = 1,584.54 : x
  2. Step 2: Convert to fraction form
    5,047.29/7,572.14 = 1,584.54/x
  3. Step 3: Cross multiply
    5,047.29x = 7,572.14 × 1,584.54
  4. Step 4: Simplify right side
    5,047.29x = 11,998,358.72
  5. Step 5: Solve for x
    x = 11,998,358.72/5,047.29
  6. Step 6: Final answer
    x = 2,377.19

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