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Finding the Fourth Proportional to 3,541.38, 5,310.42 and 1,348.74

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Solution

The fourth proportional to 3,541.38, 5,310.42 and 1,348.74 is: 2,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.38 : 5,310.42 = 1,348.74 : x
  2. Step 2: Convert to fraction form
    3,541.38/5,310.42 = 1,348.74/x
  3. Step 3: Cross multiply
    3,541.38x = 5,310.42 × 1,348.74
  4. Step 4: Simplify right side
    3,541.38x = 7,162,375.87
  5. Step 5: Solve for x
    x = 7,162,375.87/3,541.38
  6. Step 6: Final answer
    x = 2,022.48

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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.