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Finding the Fourth Proportional to 3,617.43, 4,992.24 and 2,023.98

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Solution

The fourth proportional to 3,617.43, 4,992.24 and 2,023.98 is: 2,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.43 : 4,992.24 = 2,023.98 : x
  2. Step 2: Convert to fraction form
    3,617.43/4,992.24 = 2,023.98/x
  3. Step 3: Cross multiply
    3,617.43x = 4,992.24 × 2,023.98
  4. Step 4: Simplify right side
    3,617.43x = 10,104,181.27
  5. Step 5: Solve for x
    x = 10,104,181.27/3,617.43
  6. Step 6: Final answer
    x = 2,793.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.