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Finding the Fourth Proportional to 4,274.37, 6,398.19 and 3,238.38

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Solution

The fourth proportional to 4,274.37, 6,398.19 and 3,238.38 is: 4,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.37 : 6,398.19 = 3,238.38 : x
  2. Step 2: Convert to fraction form
    4,274.37/6,398.19 = 3,238.38/x
  3. Step 3: Cross multiply
    4,274.37x = 6,398.19 × 3,238.38
  4. Step 4: Simplify right side
    4,274.37x = 20,719,770.53
  5. Step 5: Solve for x
    x = 20,719,770.53/4,274.37
  6. Step 6: Final answer
    x = 4,847.44

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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.