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Finding the Fourth Proportional to 3,414.32, 5,113.27 and 1,949.03

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Solution

The fourth proportional to 3,414.32, 5,113.27 and 1,949.03 is: 2,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.32 : 5,113.27 = 1,949.03 : x
  2. Step 2: Convert to fraction form
    3,414.32/5,113.27 = 1,949.03/x
  3. Step 3: Cross multiply
    3,414.32x = 5,113.27 × 1,949.03
  4. Step 4: Simplify right side
    3,414.32x = 9,965,916.63
  5. Step 5: Solve for x
    x = 9,965,916.63/3,414.32
  6. Step 6: Final answer
    x = 2,918.86

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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.