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Finding the Fourth Proportional to 5,745.96, 8,613.92 and 2,233.56

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Solution

The fourth proportional to 5,745.96, 8,613.92 and 2,233.56 is: 3,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.96 : 8,613.92 = 2,233.56 : x
  2. Step 2: Convert to fraction form
    5,745.96/8,613.92 = 2,233.56/x
  3. Step 3: Cross multiply
    5,745.96x = 8,613.92 × 2,233.56
  4. Step 4: Simplify right side
    5,745.96x = 19,239,707.16
  5. Step 5: Solve for x
    x = 19,239,707.16/5,745.96
  6. Step 6: Final answer
    x = 3,348.39

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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.