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Finding the Fourth Proportional to 3,974.82, 5,484.84 and 2,296.76

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Solution

The fourth proportional to 3,974.82, 5,484.84 and 2,296.76 is: 3,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.82 : 5,484.84 = 2,296.76 : x
  2. Step 2: Convert to fraction form
    3,974.82/5,484.84 = 2,296.76/x
  3. Step 3: Cross multiply
    3,974.82x = 5,484.84 × 2,296.76
  4. Step 4: Simplify right side
    3,974.82x = 12,597,361.12
  5. Step 5: Solve for x
    x = 12,597,361.12/3,974.82
  6. Step 6: Final answer
    x = 3,169.29

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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.