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Finding the Fourth Proportional to 5,460.92, 8,192.46 and 1,998.44

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Solution

The fourth proportional to 5,460.92, 8,192.46 and 1,998.44 is: 2,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.92 : 8,192.46 = 1,998.44 : x
  2. Step 2: Convert to fraction form
    5,460.92/8,192.46 = 1,998.44/x
  3. Step 3: Cross multiply
    5,460.92x = 8,192.46 × 1,998.44
  4. Step 4: Simplify right side
    5,460.92x = 16,372,139.76
  5. Step 5: Solve for x
    x = 16,372,139.76/5,460.92
  6. Step 6: Final answer
    x = 2,998.06

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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.