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Finding the Fourth Proportional to 3,745.67, 5,618.52 and 1,524.54

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Solution

The fourth proportional to 3,745.67, 5,618.52 and 1,524.54 is: 2,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.67 : 5,618.52 = 1,524.54 : x
  2. Step 2: Convert to fraction form
    3,745.67/5,618.52 = 1,524.54/x
  3. Step 3: Cross multiply
    3,745.67x = 5,618.52 × 1,524.54
  4. Step 4: Simplify right side
    3,745.67x = 8,565,658.48
  5. Step 5: Solve for x
    x = 8,565,658.48/3,745.67
  6. Step 6: Final answer
    x = 2,286.82

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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.