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Finding the Fourth Proportional to 3,467.64, 5,201.64 and 1,519.86

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Solution

The fourth proportional to 3,467.64, 5,201.64 and 1,519.86 is: 2,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.64 : 5,201.64 = 1,519.86 : x
  2. Step 2: Convert to fraction form
    3,467.64/5,201.64 = 1,519.86/x
  3. Step 3: Cross multiply
    3,467.64x = 5,201.64 × 1,519.86
  4. Step 4: Simplify right side
    3,467.64x = 7,905,764.57
  5. Step 5: Solve for x
    x = 7,905,764.57/3,467.64
  6. Step 6: Final answer
    x = 2,279.87

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