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Finding the Fourth Proportional to 3,939.75, 5,909.41 and 1,474.38

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Solution

The fourth proportional to 3,939.75, 5,909.41 and 1,474.38 is: 2,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.75 : 5,909.41 = 1,474.38 : x
  2. Step 2: Convert to fraction form
    3,939.75/5,909.41 = 1,474.38/x
  3. Step 3: Cross multiply
    3,939.75x = 5,909.41 × 1,474.38
  4. Step 4: Simplify right side
    3,939.75x = 8,712,686.37
  5. Step 5: Solve for x
    x = 8,712,686.37/3,939.75
  6. Step 6: Final answer
    x = 2,211.48

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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.