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Finding the Fourth Proportional to 3,424.93, 5,137.20 and 1,449.73

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Solution

The fourth proportional to 3,424.93, 5,137.20 and 1,449.73 is: 2,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.93 : 5,137.20 = 1,449.73 : x
  2. Step 2: Convert to fraction form
    3,424.93/5,137.20 = 1,449.73/x
  3. Step 3: Cross multiply
    3,424.93x = 5,137.20 × 1,449.73
  4. Step 4: Simplify right side
    3,424.93x = 7,447,552.96
  5. Step 5: Solve for x
    x = 7,447,552.96/3,424.93
  6. Step 6: Final answer
    x = 2,174.51

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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.