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Finding the Fourth Proportional to 5,238.83, 7,842.64 and 3,384.53

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Solution

The fourth proportional to 5,238.83, 7,842.64 and 3,384.53 is: 5,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.83 : 7,842.64 = 3,384.53 : x
  2. Step 2: Convert to fraction form
    5,238.83/7,842.64 = 3,384.53/x
  3. Step 3: Cross multiply
    5,238.83x = 7,842.64 × 3,384.53
  4. Step 4: Simplify right side
    5,238.83x = 26,543,650.36
  5. Step 5: Solve for x
    x = 26,543,650.36/5,238.83
  6. Step 6: Final answer
    x = 5,066.71

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