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Finding the Fourth Proportional to 3,776.28, 5,633.56 and 3,674.49

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Solution

The fourth proportional to 3,776.28, 5,633.56 and 3,674.49 is: 5,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.28 : 5,633.56 = 3,674.49 : x
  2. Step 2: Convert to fraction form
    3,776.28/5,633.56 = 3,674.49/x
  3. Step 3: Cross multiply
    3,776.28x = 5,633.56 × 3,674.49
  4. Step 4: Simplify right side
    3,776.28x = 20,700,459.88
  5. Step 5: Solve for x
    x = 20,700,459.88/3,776.28
  6. Step 6: Final answer
    x = 5,481.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.