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Finding the Fourth Proportional to 5,757.70, 7,947.93 and 3,664.42

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Solution

The fourth proportional to 5,757.70, 7,947.93 and 3,664.42 is: 5,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.70 : 7,947.93 = 3,664.42 : x
  2. Step 2: Convert to fraction form
    5,757.70/7,947.93 = 3,664.42/x
  3. Step 3: Cross multiply
    5,757.70x = 7,947.93 × 3,664.42
  4. Step 4: Simplify right side
    5,757.70x = 29,124,553.65
  5. Step 5: Solve for x
    x = 29,124,553.65/5,757.70
  6. Step 6: Final answer
    x = 5,058.37

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Why These Related Problems?

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