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Finding the Fourth Proportional to 4,202.92, 6,309.78 and 2,449.48

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Solution

The fourth proportional to 4,202.92, 6,309.78 and 2,449.48 is: 3,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.92 : 6,309.78 = 2,449.48 : x
  2. Step 2: Convert to fraction form
    4,202.92/6,309.78 = 2,449.48/x
  3. Step 3: Cross multiply
    4,202.92x = 6,309.78 × 2,449.48
  4. Step 4: Simplify right side
    4,202.92x = 15,455,679.91
  5. Step 5: Solve for x
    x = 15,455,679.91/4,202.92
  6. Step 6: Final answer
    x = 3,677.37

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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.