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Finding the Fourth Proportional to 3,414.32, 5,120.84 and 949.34

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Solution

The fourth proportional to 3,414.32, 5,120.84 and 949.34 is: 1,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.32 : 5,120.84 = 949.34 : x
  2. Step 2: Convert to fraction form
    3,414.32/5,120.84 = 949.34/x
  3. Step 3: Cross multiply
    3,414.32x = 5,120.84 × 949.34
  4. Step 4: Simplify right side
    3,414.32x = 4,861,418.25
  5. Step 5: Solve for x
    x = 4,861,418.25/3,414.32
  6. Step 6: Final answer
    x = 1,423.83

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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.