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Finding the Fourth Proportional to 3,815.43, 5,265.74 and 2,324.22

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Solution

The fourth proportional to 3,815.43, 5,265.74 and 2,324.22 is: 3,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.43 : 5,265.74 = 2,324.22 : x
  2. Step 2: Convert to fraction form
    3,815.43/5,265.74 = 2,324.22/x
  3. Step 3: Cross multiply
    3,815.43x = 5,265.74 × 2,324.22
  4. Step 4: Simplify right side
    3,815.43x = 12,238,738.22
  5. Step 5: Solve for x
    x = 12,238,738.22/3,815.43
  6. Step 6: Final answer
    x = 3,207.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.