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Finding the Fourth Proportional to 3,940.24, 5,910.42 and 3,156.58

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Solution

The fourth proportional to 3,940.24, 5,910.42 and 3,156.58 is: 4,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.24 : 5,910.42 = 3,156.58 : x
  2. Step 2: Convert to fraction form
    3,940.24/5,910.42 = 3,156.58/x
  3. Step 3: Cross multiply
    3,940.24x = 5,910.42 × 3,156.58
  4. Step 4: Simplify right side
    3,940.24x = 18,656,713.56
  5. Step 5: Solve for x
    x = 18,656,713.56/3,940.24
  6. Step 6: Final answer
    x = 4,734.92

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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.