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Finding the Fourth Proportional to 4,843.92, 7,270.20 and 3,306

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Solution

The fourth proportional to 4,843.92, 7,270.20 and 3,306 is: 4,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.92 : 7,270.20 = 3,306 : x
  2. Step 2: Convert to fraction form
    4,843.92/7,270.20 = 3,306/x
  3. Step 3: Cross multiply
    4,843.92x = 7,270.20 × 3,306
  4. Step 4: Simplify right side
    4,843.92x = 24,035,281.20
  5. Step 5: Solve for x
    x = 24,035,281.20/4,843.92
  6. Step 6: Final answer
    x = 4,961.95

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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.