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Finding the Fourth Proportional to 3,414.41, 5,121.61 and 949.23

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Solution

The fourth proportional to 3,414.41, 5,121.61 and 949.23 is: 1,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.41 : 5,121.61 = 949.23 : x
  2. Step 2: Convert to fraction form
    3,414.41/5,121.61 = 949.23/x
  3. Step 3: Cross multiply
    3,414.41x = 5,121.61 × 949.23
  4. Step 4: Simplify right side
    3,414.41x = 4,861,588.83
  5. Step 5: Solve for x
    x = 4,861,588.83/3,414.41
  6. Step 6: Final answer
    x = 1,423.85

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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.