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Finding the Fourth Proportional to 2,596.13, 3,896.06 and 1,904.59

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Solution

The fourth proportional to 2,596.13, 3,896.06 and 1,904.59 is: 2,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.13 : 3,896.06 = 1,904.59 : x
  2. Step 2: Convert to fraction form
    2,596.13/3,896.06 = 1,904.59/x
  3. Step 3: Cross multiply
    2,596.13x = 3,896.06 × 1,904.59
  4. Step 4: Simplify right side
    2,596.13x = 7,420,396.92
  5. Step 5: Solve for x
    x = 7,420,396.92/2,596.13
  6. Step 6: Final answer
    x = 2,858.25

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