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Finding the Fourth Proportional to 3,959.46, 5,942.70 and 2,012.76

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Solution

The fourth proportional to 3,959.46, 5,942.70 and 2,012.76 is: 3,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.46 : 5,942.70 = 2,012.76 : x
  2. Step 2: Convert to fraction form
    3,959.46/5,942.70 = 2,012.76/x
  3. Step 3: Cross multiply
    3,959.46x = 5,942.70 × 2,012.76
  4. Step 4: Simplify right side
    3,959.46x = 11,961,228.85
  5. Step 5: Solve for x
    x = 11,961,228.85/3,959.46
  6. Step 6: Final answer
    x = 3,020.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.