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Finding the Fourth Proportional to 3,541.97, 5,313.91 and 3,154.63

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Solution

The fourth proportional to 3,541.97, 5,313.91 and 3,154.63 is: 4,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.97 : 5,313.91 = 3,154.63 : x
  2. Step 2: Convert to fraction form
    3,541.97/5,313.91 = 3,154.63/x
  3. Step 3: Cross multiply
    3,541.97x = 5,313.91 × 3,154.63
  4. Step 4: Simplify right side
    3,541.97x = 16,763,377.56
  5. Step 5: Solve for x
    x = 16,763,377.56/3,541.97
  6. Step 6: Final answer
    x = 4,732.78

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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.