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Finding the Fourth Proportional to 3,959, 5,935.50 and 2,012.60

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Solution

The fourth proportional to 3,959, 5,935.50 and 2,012.60 is: 3,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959 : 5,935.50 = 2,012.60 : x
  2. Step 2: Convert to fraction form
    3,959/5,935.50 = 2,012.60/x
  3. Step 3: Cross multiply
    3,959x = 5,935.50 × 2,012.60
  4. Step 4: Simplify right side
    3,959x = 11,945,787.30
  5. Step 5: Solve for x
    x = 11,945,787.30/3,959
  6. Step 6: Final answer
    x = 3,017.37

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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.