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Finding the Fourth Proportional to 3,806.72, 5,253.30 and 2,234.84

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Solution

The fourth proportional to 3,806.72, 5,253.30 and 2,234.84 is: 3,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.72 : 5,253.30 = 2,234.84 : x
  2. Step 2: Convert to fraction form
    3,806.72/5,253.30 = 2,234.84/x
  3. Step 3: Cross multiply
    3,806.72x = 5,253.30 × 2,234.84
  4. Step 4: Simplify right side
    3,806.72x = 11,740,284.97
  5. Step 5: Solve for x
    x = 11,740,284.97/3,806.72
  6. Step 6: Final answer
    x = 3,084.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.