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Finding the Fourth Proportional to 3,382.42, 4,637.87 and 3,049.54

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Solution

The fourth proportional to 3,382.42, 4,637.87 and 3,049.54 is: 4,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.42 : 4,637.87 = 3,049.54 : x
  2. Step 2: Convert to fraction form
    3,382.42/4,637.87 = 3,049.54/x
  3. Step 3: Cross multiply
    3,382.42x = 4,637.87 × 3,049.54
  4. Step 4: Simplify right side
    3,382.42x = 14,143,370.08
  5. Step 5: Solve for x
    x = 14,143,370.08/3,382.42
  6. Step 6: Final answer
    x = 4,181.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.