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Finding the Fourth Proportional to 5,197.68, 7,796.46 and 2,276.22

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Solution

The fourth proportional to 5,197.68, 7,796.46 and 2,276.22 is: 3,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.68 : 7,796.46 = 2,276.22 : x
  2. Step 2: Convert to fraction form
    5,197.68/7,796.46 = 2,276.22/x
  3. Step 3: Cross multiply
    5,197.68x = 7,796.46 × 2,276.22
  4. Step 4: Simplify right side
    5,197.68x = 17,746,458.18
  5. Step 5: Solve for x
    x = 17,746,458.18/5,197.68
  6. Step 6: Final answer
    x = 3,414.30

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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.