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Finding the Fourth Proportional to 5,130, 7,694.98 and 3,961.70

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Solution

The fourth proportional to 5,130, 7,694.98 and 3,961.70 is: 5,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130 : 7,694.98 = 3,961.70 : x
  2. Step 2: Convert to fraction form
    5,130/7,694.98 = 3,961.70/x
  3. Step 3: Cross multiply
    5,130x = 7,694.98 × 3,961.70
  4. Step 4: Simplify right side
    5,130x = 30,485,202.27
  5. Step 5: Solve for x
    x = 30,485,202.27/5,130
  6. Step 6: Final answer
    x = 5,942.53

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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.