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Finding the Fourth Proportional to 5,216.02, 7,824.03 and 1,320.42

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Solution

The fourth proportional to 5,216.02, 7,824.03 and 1,320.42 is: 1,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.02 : 7,824.03 = 1,320.42 : x
  2. Step 2: Convert to fraction form
    5,216.02/7,824.03 = 1,320.42/x
  3. Step 3: Cross multiply
    5,216.02x = 7,824.03 × 1,320.42
  4. Step 4: Simplify right side
    5,216.02x = 10,331,005.69
  5. Step 5: Solve for x
    x = 10,331,005.69/5,216.02
  6. Step 6: Final answer
    x = 1,980.63

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