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Finding the Fourth Proportional to 4,216.54, 6,324.80 and 1,583.94

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Solution

The fourth proportional to 4,216.54, 6,324.80 and 1,583.94 is: 2,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.54 : 6,324.80 = 1,583.94 : x
  2. Step 2: Convert to fraction form
    4,216.54/6,324.80 = 1,583.94/x
  3. Step 3: Cross multiply
    4,216.54x = 6,324.80 × 1,583.94
  4. Step 4: Simplify right side
    4,216.54x = 10,018,103.71
  5. Step 5: Solve for x
    x = 10,018,103.71/4,216.54
  6. Step 6: Final answer
    x = 2,375.91

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