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Finding the Fourth Proportional to 3,296.87, 4,944.74 and 1,447.48

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Solution

The fourth proportional to 3,296.87, 4,944.74 and 1,447.48 is: 2,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.87 : 4,944.74 = 1,447.48 : x
  2. Step 2: Convert to fraction form
    3,296.87/4,944.74 = 1,447.48/x
  3. Step 3: Cross multiply
    3,296.87x = 4,944.74 × 1,447.48
  4. Step 4: Simplify right side
    3,296.87x = 7,157,430.05
  5. Step 5: Solve for x
    x = 7,157,430.05/3,296.87
  6. Step 6: Final answer
    x = 2,170.98

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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.