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Finding the Fourth Proportional to 3,942.90, 5,922.42 and 3,811.68

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Solution

The fourth proportional to 3,942.90, 5,922.42 and 3,811.68 is: 5,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.90 : 5,922.42 = 3,811.68 : x
  2. Step 2: Convert to fraction form
    3,942.90/5,922.42 = 3,811.68/x
  3. Step 3: Cross multiply
    3,942.90x = 5,922.42 × 3,811.68
  4. Step 4: Simplify right side
    3,942.90x = 22,574,369.87
  5. Step 5: Solve for x
    x = 22,574,369.87/3,942.90
  6. Step 6: Final answer
    x = 5,725.32

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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.