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Finding the Fourth Proportional to 5,467, 7,544.50 and 2,983

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Solution

The fourth proportional to 5,467, 7,544.50 and 2,983 is: 4,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467 : 7,544.50 = 2,983 : x
  2. Step 2: Convert to fraction form
    5,467/7,544.50 = 2,983/x
  3. Step 3: Cross multiply
    5,467x = 7,544.50 × 2,983
  4. Step 4: Simplify right side
    5,467x = 22,505,243.50
  5. Step 5: Solve for x
    x = 22,505,243.50/5,467
  6. Step 6: Final answer
    x = 4,116.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.