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Finding the Fourth Proportional to 5,238.93, 7,858.59 and 1,541.16

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Solution

The fourth proportional to 5,238.93, 7,858.59 and 1,541.16 is: 2,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.93 : 7,858.59 = 1,541.16 : x
  2. Step 2: Convert to fraction form
    5,238.93/7,858.59 = 1,541.16/x
  3. Step 3: Cross multiply
    5,238.93x = 7,858.59 × 1,541.16
  4. Step 4: Simplify right side
    5,238.93x = 12,111,344.56
  5. Step 5: Solve for x
    x = 12,111,344.56/5,238.93
  6. Step 6: Final answer
    x = 2,311.80

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