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Finding the Fourth Proportional to 3,273.73, 4,910.47 and 1,424.84

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Solution

The fourth proportional to 3,273.73, 4,910.47 and 1,424.84 is: 2,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.73 : 4,910.47 = 1,424.84 : x
  2. Step 2: Convert to fraction form
    3,273.73/4,910.47 = 1,424.84/x
  3. Step 3: Cross multiply
    3,273.73x = 4,910.47 × 1,424.84
  4. Step 4: Simplify right side
    3,273.73x = 6,996,634.07
  5. Step 5: Solve for x
    x = 6,996,634.07/3,273.73
  6. Step 6: Final answer
    x = 2,137.21

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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.