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Finding the Fourth Proportional to 5,207.44, 7,814.24 and 1,922.84

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Solution

The fourth proportional to 5,207.44, 7,814.24 and 1,922.84 is: 2,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.44 : 7,814.24 = 1,922.84 : x
  2. Step 2: Convert to fraction form
    5,207.44/7,814.24 = 1,922.84/x
  3. Step 3: Cross multiply
    5,207.44x = 7,814.24 × 1,922.84
  4. Step 4: Simplify right side
    5,207.44x = 15,025,533.24
  5. Step 5: Solve for x
    x = 15,025,533.24/5,207.44
  6. Step 6: Final answer
    x = 2,885.40

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