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Finding the Fourth Proportional to 5,945.49, 8,919.45 and 2,049.39

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Solution

The fourth proportional to 5,945.49, 8,919.45 and 2,049.39 is: 3,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.49 : 8,919.45 = 2,049.39 : x
  2. Step 2: Convert to fraction form
    5,945.49/8,919.45 = 2,049.39/x
  3. Step 3: Cross multiply
    5,945.49x = 8,919.45 × 2,049.39
  4. Step 4: Simplify right side
    5,945.49x = 18,279,431.64
  5. Step 5: Solve for x
    x = 18,279,431.64/5,945.49
  6. Step 6: Final answer
    x = 3,074.50

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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.