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Finding the Fourth Proportional to 4,549.45, 6,819.45 and 2,206

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Solution

The fourth proportional to 4,549.45, 6,819.45 and 2,206 is: 3,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.45 : 6,819.45 = 2,206 : x
  2. Step 2: Convert to fraction form
    4,549.45/6,819.45 = 2,206/x
  3. Step 3: Cross multiply
    4,549.45x = 6,819.45 × 2,206
  4. Step 4: Simplify right side
    4,549.45x = 15,043,706.70
  5. Step 5: Solve for x
    x = 15,043,706.70/4,549.45
  6. Step 6: Final answer
    x = 3,306.71

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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.