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Finding the Fourth Proportional to 3,755.44, 5,633.96 and 1,446.96

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Solution

The fourth proportional to 3,755.44, 5,633.96 and 1,446.96 is: 2,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.44 : 5,633.96 = 1,446.96 : x
  2. Step 2: Convert to fraction form
    3,755.44/5,633.96 = 1,446.96/x
  3. Step 3: Cross multiply
    3,755.44x = 5,633.96 × 1,446.96
  4. Step 4: Simplify right side
    3,755.44x = 8,152,114.76
  5. Step 5: Solve for x
    x = 8,152,114.76/3,755.44
  6. Step 6: Final answer
    x = 2,170.75

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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.