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Finding the Fourth Proportional to 5,463.18, 8,189.85 and 1,999.62

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Solution

The fourth proportional to 5,463.18, 8,189.85 and 1,999.62 is: 2,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.18 : 8,189.85 = 1,999.62 : x
  2. Step 2: Convert to fraction form
    5,463.18/8,189.85 = 1,999.62/x
  3. Step 3: Cross multiply
    5,463.18x = 8,189.85 × 1,999.62
  4. Step 4: Simplify right side
    5,463.18x = 16,376,587.86
  5. Step 5: Solve for x
    x = 16,376,587.86/5,463.18
  6. Step 6: Final answer
    x = 2,997.63

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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.