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Finding the Fourth Proportional to 3,697.92, 5,105.70 and 2,581.20

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Solution

The fourth proportional to 3,697.92, 5,105.70 and 2,581.20 is: 3,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.92 : 5,105.70 = 2,581.20 : x
  2. Step 2: Convert to fraction form
    3,697.92/5,105.70 = 2,581.20/x
  3. Step 3: Cross multiply
    3,697.92x = 5,105.70 × 2,581.20
  4. Step 4: Simplify right side
    3,697.92x = 13,178,832.84
  5. Step 5: Solve for x
    x = 13,178,832.84/3,697.92
  6. Step 6: Final answer
    x = 3,563.85

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Why These Related Problems?

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