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Finding the Fourth Proportional to 3,183.73, 4,777.02 and 1,721.17

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Solution

The fourth proportional to 3,183.73, 4,777.02 and 1,721.17 is: 2,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.73 : 4,777.02 = 1,721.17 : x
  2. Step 2: Convert to fraction form
    3,183.73/4,777.02 = 1,721.17/x
  3. Step 3: Cross multiply
    3,183.73x = 4,777.02 × 1,721.17
  4. Step 4: Simplify right side
    3,183.73x = 8,222,039.63
  5. Step 5: Solve for x
    x = 8,222,039.63/3,183.73
  6. Step 6: Final answer
    x = 2,582.52

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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.