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Finding the Fourth Proportional to 5,086, 7,629.96 and 2,350

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Solution

The fourth proportional to 5,086, 7,629.96 and 2,350 is: 3,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086 : 7,629.96 = 2,350 : x
  2. Step 2: Convert to fraction form
    5,086/7,629.96 = 2,350/x
  3. Step 3: Cross multiply
    5,086x = 7,629.96 × 2,350
  4. Step 4: Simplify right side
    5,086x = 17,930,406
  5. Step 5: Solve for x
    x = 17,930,406/5,086
  6. Step 6: Final answer
    x = 3,525.44

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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.