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Finding the Fourth Proportional to 5,354.98, 8,036.11 and 1,892.23

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Solution

The fourth proportional to 5,354.98, 8,036.11 and 1,892.23 is: 2,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.98 : 8,036.11 = 1,892.23 : x
  2. Step 2: Convert to fraction form
    5,354.98/8,036.11 = 1,892.23/x
  3. Step 3: Cross multiply
    5,354.98x = 8,036.11 × 1,892.23
  4. Step 4: Simplify right side
    5,354.98x = 15,206,183.78
  5. Step 5: Solve for x
    x = 15,206,183.78/5,354.98
  6. Step 6: Final answer
    x = 2,839.63

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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.