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Finding the Fourth Proportional to 3,414.64, 5,121.37 and 949.48

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Solution

The fourth proportional to 3,414.64, 5,121.37 and 949.48 is: 1,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.64 : 5,121.37 = 949.48 : x
  2. Step 2: Convert to fraction form
    3,414.64/5,121.37 = 949.48/x
  3. Step 3: Cross multiply
    3,414.64x = 5,121.37 × 949.48
  4. Step 4: Simplify right side
    3,414.64x = 4,862,638.39
  5. Step 5: Solve for x
    x = 4,862,638.39/3,414.64
  6. Step 6: Final answer
    x = 1,424.06

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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.