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Finding the Fourth Proportional to 3,760.94, 5,636.24 and 3,202.76

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Solution

The fourth proportional to 3,760.94, 5,636.24 and 3,202.76 is: 4,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.94 : 5,636.24 = 3,202.76 : x
  2. Step 2: Convert to fraction form
    3,760.94/5,636.24 = 3,202.76/x
  3. Step 3: Cross multiply
    3,760.94x = 5,636.24 × 3,202.76
  4. Step 4: Simplify right side
    3,760.94x = 18,051,508.01
  5. Step 5: Solve for x
    x = 18,051,508.01/3,760.94
  6. Step 6: Final answer
    x = 4,799.73

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1.5x scale

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.