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Finding the Fourth Proportional to 3,762.57, 5,645.34 and 2,723.88

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Solution

The fourth proportional to 3,762.57, 5,645.34 and 2,723.88 is: 4,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.57 : 5,645.34 = 2,723.88 : x
  2. Step 2: Convert to fraction form
    3,762.57/5,645.34 = 2,723.88/x
  3. Step 3: Cross multiply
    3,762.57x = 5,645.34 × 2,723.88
  4. Step 4: Simplify right side
    3,762.57x = 15,377,228.72
  5. Step 5: Solve for x
    x = 15,377,228.72/3,762.57
  6. Step 6: Final answer
    x = 4,086.90

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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.