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Finding the Fourth Proportional to 3,764.88, 5,649.24 and 1,545.33

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Solution

The fourth proportional to 3,764.88, 5,649.24 and 1,545.33 is: 2,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.88 : 5,649.24 = 1,545.33 : x
  2. Step 2: Convert to fraction form
    3,764.88/5,649.24 = 1,545.33/x
  3. Step 3: Cross multiply
    3,764.88x = 5,649.24 × 1,545.33
  4. Step 4: Simplify right side
    3,764.88x = 8,729,935.25
  5. Step 5: Solve for x
    x = 8,729,935.25/3,764.88
  6. Step 6: Final answer
    x = 2,318.78

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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.