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Finding the Fourth Proportional to 3,976, 5,966.17 and 1,924

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Solution

The fourth proportional to 3,976, 5,966.17 and 1,924 is: 2,887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976 : 5,966.17 = 1,924 : x
  2. Step 2: Convert to fraction form
    3,976/5,966.17 = 1,924/x
  3. Step 3: Cross multiply
    3,976x = 5,966.17 × 1,924
  4. Step 4: Simplify right side
    3,976x = 11,478,911.08
  5. Step 5: Solve for x
    x = 11,478,911.08/3,976
  6. Step 6: Final answer
    x = 2,887.05

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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.