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Finding the Fourth Proportional to 5,974.92, 8,245.22 and 3,322.28

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Solution

The fourth proportional to 5,974.92, 8,245.22 and 3,322.28 is: 4,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.92 : 8,245.22 = 3,322.28 : x
  2. Step 2: Convert to fraction form
    5,974.92/8,245.22 = 3,322.28/x
  3. Step 3: Cross multiply
    5,974.92x = 8,245.22 × 3,322.28
  4. Step 4: Simplify right side
    5,974.92x = 27,392,929.50
  5. Step 5: Solve for x
    x = 27,392,929.50/5,974.92
  6. Step 6: Final answer
    x = 4,584.65

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1.5x scale

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.