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Finding the Fourth Proportional to 5,207.74, 7,811.34 and 1,920.56

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Solution

The fourth proportional to 5,207.74, 7,811.34 and 1,920.56 is: 2,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.74 : 7,811.34 = 1,920.56 : x
  2. Step 2: Convert to fraction form
    5,207.74/7,811.34 = 1,920.56/x
  3. Step 3: Cross multiply
    5,207.74x = 7,811.34 × 1,920.56
  4. Step 4: Simplify right side
    5,207.74x = 15,002,147.15
  5. Step 5: Solve for x
    x = 15,002,147.15/5,207.74
  6. Step 6: Final answer
    x = 2,880.74

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