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Finding the Fourth Proportional to 5,195.68, 7,793.46 and 2,274.22

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Solution

The fourth proportional to 5,195.68, 7,793.46 and 2,274.22 is: 3,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.68 : 7,793.46 = 2,274.22 : x
  2. Step 2: Convert to fraction form
    5,195.68/7,793.46 = 2,274.22/x
  3. Step 3: Cross multiply
    5,195.68x = 7,793.46 × 2,274.22
  4. Step 4: Simplify right side
    5,195.68x = 17,724,042.60
  5. Step 5: Solve for x
    x = 17,724,042.60/5,195.68
  6. Step 6: Final answer
    x = 3,411.30

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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.