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Finding the Fourth Proportional to 3,414.91, 4,715.42 and 2,299.54

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Solution

The fourth proportional to 3,414.91, 4,715.42 and 2,299.54 is: 3,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.91 : 4,715.42 = 2,299.54 : x
  2. Step 2: Convert to fraction form
    3,414.91/4,715.42 = 2,299.54/x
  3. Step 3: Cross multiply
    3,414.91x = 4,715.42 × 2,299.54
  4. Step 4: Simplify right side
    3,414.91x = 10,843,296.91
  5. Step 5: Solve for x
    x = 10,843,296.91/3,414.91
  6. Step 6: Final answer
    x = 3,175.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.