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Finding the Fourth Proportional to 3,184.92, 4,772.73 and 2,262.27

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Solution

The fourth proportional to 3,184.92, 4,772.73 and 2,262.27 is: 3,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.92 : 4,772.73 = 2,262.27 : x
  2. Step 2: Convert to fraction form
    3,184.92/4,772.73 = 2,262.27/x
  3. Step 3: Cross multiply
    3,184.92x = 4,772.73 × 2,262.27
  4. Step 4: Simplify right side
    3,184.92x = 10,797,203.90
  5. Step 5: Solve for x
    x = 10,797,203.90/3,184.92
  6. Step 6: Final answer
    x = 3,390.10

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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.