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Finding the Fourth Proportional to 3,676.43, 5,501.90 and 2,270.27

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Solution

The fourth proportional to 3,676.43, 5,501.90 and 2,270.27 is: 3,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.43 : 5,501.90 = 2,270.27 : x
  2. Step 2: Convert to fraction form
    3,676.43/5,501.90 = 2,270.27/x
  3. Step 3: Cross multiply
    3,676.43x = 5,501.90 × 2,270.27
  4. Step 4: Simplify right side
    3,676.43x = 12,490,759.65
  5. Step 5: Solve for x
    x = 12,490,759.65/3,676.43
  6. Step 6: Final answer
    x = 3,397.53

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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.