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Finding the Fourth Proportional to 6,002, 8,282.74 and 3,349.26

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Solution

The fourth proportional to 6,002, 8,282.74 and 3,349.26 is: 4,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002 : 8,282.74 = 3,349.26 : x
  2. Step 2: Convert to fraction form
    6,002/8,282.74 = 3,349.26/x
  3. Step 3: Cross multiply
    6,002x = 8,282.74 × 3,349.26
  4. Step 4: Simplify right side
    6,002x = 27,741,049.77
  5. Step 5: Solve for x
    x = 27,741,049.77/6,002
  6. Step 6: Final answer
    x = 4,621.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.