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Finding the Fourth Proportional to 3,764.62, 5,645.37 and 1,424.22

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Solution

The fourth proportional to 3,764.62, 5,645.37 and 1,424.22 is: 2,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.62 : 5,645.37 = 1,424.22 : x
  2. Step 2: Convert to fraction form
    3,764.62/5,645.37 = 1,424.22/x
  3. Step 3: Cross multiply
    3,764.62x = 5,645.37 × 1,424.22
  4. Step 4: Simplify right side
    3,764.62x = 8,040,248.86
  5. Step 5: Solve for x
    x = 8,040,248.86/3,764.62
  6. Step 6: Final answer
    x = 2,135.74

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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.