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Finding the Fourth Proportional to 3,414.97, 5,122.43 and 1,953.08

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Solution

The fourth proportional to 3,414.97, 5,122.43 and 1,953.08 is: 2,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.97 : 5,122.43 = 1,953.08 : x
  2. Step 2: Convert to fraction form
    3,414.97/5,122.43 = 1,953.08/x
  3. Step 3: Cross multiply
    3,414.97x = 5,122.43 × 1,953.08
  4. Step 4: Simplify right side
    3,414.97x = 10,004,505.82
  5. Step 5: Solve for x
    x = 10,004,505.82/3,414.97
  6. Step 6: Final answer
    x = 2,929.61

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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.