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Finding the Fourth Proportional to 5,086.24, 7,629.44 and 1,967.68

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Solution

The fourth proportional to 5,086.24, 7,629.44 and 1,967.68 is: 2,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.24 : 7,629.44 = 1,967.68 : x
  2. Step 2: Convert to fraction form
    5,086.24/7,629.44 = 1,967.68/x
  3. Step 3: Cross multiply
    5,086.24x = 7,629.44 × 1,967.68
  4. Step 4: Simplify right side
    5,086.24x = 15,012,296.50
  5. Step 5: Solve for x
    x = 15,012,296.50/5,086.24
  6. Step 6: Final answer
    x = 2,951.55

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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.