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Finding the Fourth Proportional to 4,600.87, 6,896.34 and 2,258.15

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Solution

The fourth proportional to 4,600.87, 6,896.34 and 2,258.15 is: 3,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.87 : 6,896.34 = 2,258.15 : x
  2. Step 2: Convert to fraction form
    4,600.87/6,896.34 = 2,258.15/x
  3. Step 3: Cross multiply
    4,600.87x = 6,896.34 × 2,258.15
  4. Step 4: Simplify right side
    4,600.87x = 15,572,935.69
  5. Step 5: Solve for x
    x = 15,572,935.69/4,600.87
  6. Step 6: Final answer
    x = 3,384.78

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