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Finding the Fourth Proportional to 3,961.52, 5,942.28 and 2,576

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Solution

The fourth proportional to 3,961.52, 5,942.28 and 2,576 is: 3,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.52 : 5,942.28 = 2,576 : x
  2. Step 2: Convert to fraction form
    3,961.52/5,942.28 = 2,576/x
  3. Step 3: Cross multiply
    3,961.52x = 5,942.28 × 2,576
  4. Step 4: Simplify right side
    3,961.52x = 15,307,313.28
  5. Step 5: Solve for x
    x = 15,307,313.28/3,961.52
  6. Step 6: Final answer
    x = 3,864

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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.