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Finding the Fourth Proportional to 5,197.10, 7,793.22 and 3,090.92

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Solution

The fourth proportional to 5,197.10, 7,793.22 and 3,090.92 is: 4,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.10 : 7,793.22 = 3,090.92 : x
  2. Step 2: Convert to fraction form
    5,197.10/7,793.22 = 3,090.92/x
  3. Step 3: Cross multiply
    5,197.10x = 7,793.22 × 3,090.92
  4. Step 4: Simplify right side
    5,197.10x = 24,088,219.56
  5. Step 5: Solve for x
    x = 24,088,219.56/5,197.10
  6. Step 6: Final answer
    x = 4,634.93

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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.