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Finding the Fourth Proportional to 3,942.87, 5,446.01 and 2,952.57

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Solution

The fourth proportional to 3,942.87, 5,446.01 and 2,952.57 is: 4,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.87 : 5,446.01 = 2,952.57 : x
  2. Step 2: Convert to fraction form
    3,942.87/5,446.01 = 2,952.57/x
  3. Step 3: Cross multiply
    3,942.87x = 5,446.01 × 2,952.57
  4. Step 4: Simplify right side
    3,942.87x = 16,079,710.98
  5. Step 5: Solve for x
    x = 16,079,710.98/3,942.87
  6. Step 6: Final answer
    x = 4,078.17

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