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Finding the Fourth Proportional to 3,805.29, 5,682.22 and 3,113.31

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Solution

The fourth proportional to 3,805.29, 5,682.22 and 3,113.31 is: 4,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.29 : 5,682.22 = 3,113.31 : x
  2. Step 2: Convert to fraction form
    3,805.29/5,682.22 = 3,113.31/x
  3. Step 3: Cross multiply
    3,805.29x = 5,682.22 × 3,113.31
  4. Step 4: Simplify right side
    3,805.29x = 17,690,504.56
  5. Step 5: Solve for x
    x = 17,690,504.56/3,805.29
  6. Step 6: Final answer
    x = 4,648.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.