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Finding the Fourth Proportional to 4,230.96, 6,344.82 and 2,497.56

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Solution

The fourth proportional to 4,230.96, 6,344.82 and 2,497.56 is: 3,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.96 : 6,344.82 = 2,497.56 : x
  2. Step 2: Convert to fraction form
    4,230.96/6,344.82 = 2,497.56/x
  3. Step 3: Cross multiply
    4,230.96x = 6,344.82 × 2,497.56
  4. Step 4: Simplify right side
    4,230.96x = 15,846,568.64
  5. Step 5: Solve for x
    x = 15,846,568.64/4,230.96
  6. Step 6: Final answer
    x = 3,745.38

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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.