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Finding the Fourth Proportional to 3,842.15, 5,753.98 and 2,605.81

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Solution

The fourth proportional to 3,842.15, 5,753.98 and 2,605.81 is: 3,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.15 : 5,753.98 = 2,605.81 : x
  2. Step 2: Convert to fraction form
    3,842.15/5,753.98 = 2,605.81/x
  3. Step 3: Cross multiply
    3,842.15x = 5,753.98 × 2,605.81
  4. Step 4: Simplify right side
    3,842.15x = 14,993,757.72
  5. Step 5: Solve for x
    x = 14,993,757.72/3,842.15
  6. Step 6: Final answer
    x = 3,902.44

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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.