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Finding the Fourth Proportional to 5,225.27, 7,832.64 and 3,278.84

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Solution

The fourth proportional to 5,225.27, 7,832.64 and 3,278.84 is: 4,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.27 : 7,832.64 = 3,278.84 : x
  2. Step 2: Convert to fraction form
    5,225.27/7,832.64 = 3,278.84/x
  3. Step 3: Cross multiply
    5,225.27x = 7,832.64 × 3,278.84
  4. Step 4: Simplify right side
    5,225.27x = 25,681,973.34
  5. Step 5: Solve for x
    x = 25,681,973.34/5,225.27
  6. Step 6: Final answer
    x = 4,914.96

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