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Finding the Fourth Proportional to 3,942.27, 5,914.22 and 3,029.40

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Solution

The fourth proportional to 3,942.27, 5,914.22 and 3,029.40 is: 4,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.27 : 5,914.22 = 3,029.40 : x
  2. Step 2: Convert to fraction form
    3,942.27/5,914.22 = 3,029.40/x
  3. Step 3: Cross multiply
    3,942.27x = 5,914.22 × 3,029.40
  4. Step 4: Simplify right side
    3,942.27x = 17,916,522.92
  5. Step 5: Solve for x
    x = 17,916,522.92/3,942.27
  6. Step 6: Final answer
    x = 4,544.72

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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.