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Finding the Fourth Proportional to 5,047.38, 7,572.28 and 1,584.63

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Solution

The fourth proportional to 5,047.38, 7,572.28 and 1,584.63 is: 2,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.38 : 7,572.28 = 1,584.63 : x
  2. Step 2: Convert to fraction form
    5,047.38/7,572.28 = 1,584.63/x
  3. Step 3: Cross multiply
    5,047.38x = 7,572.28 × 1,584.63
  4. Step 4: Simplify right side
    5,047.38x = 11,999,262.06
  5. Step 5: Solve for x
    x = 11,999,262.06/5,047.38
  6. Step 6: Final answer
    x = 2,377.32

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