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Finding the Fourth Proportional to 5,961.32, 8,226.38 and 3,444.14

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Solution

The fourth proportional to 5,961.32, 8,226.38 and 3,444.14 is: 4,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.32 : 8,226.38 = 3,444.14 : x
  2. Step 2: Convert to fraction form
    5,961.32/8,226.38 = 3,444.14/x
  3. Step 3: Cross multiply
    5,961.32x = 8,226.38 × 3,444.14
  4. Step 4: Simplify right side
    5,961.32x = 28,332,814.22
  5. Step 5: Solve for x
    x = 28,332,814.22/5,961.32
  6. Step 6: Final answer
    x = 4,752.78

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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.