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Finding the Fourth Proportional to 5,046.38, 7,570.78 and 1,583.63

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Solution

The fourth proportional to 5,046.38, 7,570.78 and 1,583.63 is: 2,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.38 : 7,570.78 = 1,583.63 : x
  2. Step 2: Convert to fraction form
    5,046.38/7,570.78 = 1,583.63/x
  3. Step 3: Cross multiply
    5,046.38x = 7,570.78 × 1,583.63
  4. Step 4: Simplify right side
    5,046.38x = 11,989,272.52
  5. Step 5: Solve for x
    x = 11,989,272.52/5,046.38
  6. Step 6: Final answer
    x = 2,375.82

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