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Finding the Fourth Proportional to 3,896.31, 5,846.09 and 1,949.07

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Solution

The fourth proportional to 3,896.31, 5,846.09 and 1,949.07 is: 2,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.31 : 5,846.09 = 1,949.07 : x
  2. Step 2: Convert to fraction form
    3,896.31/5,846.09 = 1,949.07/x
  3. Step 3: Cross multiply
    3,896.31x = 5,846.09 × 1,949.07
  4. Step 4: Simplify right side
    3,896.31x = 11,394,428.89
  5. Step 5: Solve for x
    x = 11,394,428.89/3,896.31
  6. Step 6: Final answer
    x = 2,924.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.