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Finding the Fourth Proportional to 5,197.92, 7,794.84 and 2,274.18

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Solution

The fourth proportional to 5,197.92, 7,794.84 and 2,274.18 is: 3,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.92 : 7,794.84 = 2,274.18 : x
  2. Step 2: Convert to fraction form
    5,197.92/7,794.84 = 2,274.18/x
  3. Step 3: Cross multiply
    5,197.92x = 7,794.84 × 2,274.18
  4. Step 4: Simplify right side
    5,197.92x = 17,726,869.23
  5. Step 5: Solve for x
    x = 17,726,869.23/5,197.92
  6. Step 6: Final answer
    x = 3,410.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.