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Finding the Fourth Proportional to 4,162.39, 5,745.06 and 2,746.33

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Solution

The fourth proportional to 4,162.39, 5,745.06 and 2,746.33 is: 3,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.39 : 5,745.06 = 2,746.33 : x
  2. Step 2: Convert to fraction form
    4,162.39/5,745.06 = 2,746.33/x
  3. Step 3: Cross multiply
    4,162.39x = 5,745.06 × 2,746.33
  4. Step 4: Simplify right side
    4,162.39x = 15,777,816.27
  5. Step 5: Solve for x
    x = 15,777,816.27/4,162.39
  6. Step 6: Final answer
    x = 3,790.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.