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Finding the Fourth Proportional to 5,260.75, 7,892.67 and 1,974.10

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Solution

The fourth proportional to 5,260.75, 7,892.67 and 1,974.10 is: 2,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.75 : 7,892.67 = 1,974.10 : x
  2. Step 2: Convert to fraction form
    5,260.75/7,892.67 = 1,974.10/x
  3. Step 3: Cross multiply
    5,260.75x = 7,892.67 × 1,974.10
  4. Step 4: Simplify right side
    5,260.75x = 15,580,919.85
  5. Step 5: Solve for x
    x = 15,580,919.85/5,260.75
  6. Step 6: Final answer
    x = 2,961.73

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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.