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Finding the Fourth Proportional to 3,755.20, 5,635.20 and 2,195.20

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Solution

The fourth proportional to 3,755.20, 5,635.20 and 2,195.20 is: 3,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.20 : 5,635.20 = 2,195.20 : x
  2. Step 2: Convert to fraction form
    3,755.20/5,635.20 = 2,195.20/x
  3. Step 3: Cross multiply
    3,755.20x = 5,635.20 × 2,195.20
  4. Step 4: Simplify right side
    3,755.20x = 12,370,391.04
  5. Step 5: Solve for x
    x = 12,370,391.04/3,755.20
  6. Step 6: Final answer
    x = 3,294.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.