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Finding the Fourth Proportional to 3,745.62, 5,618.22 and 1,148.56

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Solution

The fourth proportional to 3,745.62, 5,618.22 and 1,148.56 is: 1,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.62 : 5,618.22 = 1,148.56 : x
  2. Step 2: Convert to fraction form
    3,745.62/5,618.22 = 1,148.56/x
  3. Step 3: Cross multiply
    3,745.62x = 5,618.22 × 1,148.56
  4. Step 4: Simplify right side
    3,745.62x = 6,452,862.76
  5. Step 5: Solve for x
    x = 6,452,862.76/3,745.62
  6. Step 6: Final answer
    x = 1,722.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.