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Finding the Fourth Proportional to 3,769.32, 5,199.48 and 2,372.88

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Solution

The fourth proportional to 3,769.32, 5,199.48 and 2,372.88 is: 3,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.32 : 5,199.48 = 2,372.88 : x
  2. Step 2: Convert to fraction form
    3,769.32/5,199.48 = 2,372.88/x
  3. Step 3: Cross multiply
    3,769.32x = 5,199.48 × 2,372.88
  4. Step 4: Simplify right side
    3,769.32x = 12,337,742.10
  5. Step 5: Solve for x
    x = 12,337,742.10/3,769.32
  6. Step 6: Final answer
    x = 3,273.20

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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.