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Finding the Fourth Proportional to 5,790.92, 7,991.50 and 3,138.33

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Solution

The fourth proportional to 5,790.92, 7,991.50 and 3,138.33 is: 4,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.92 : 7,991.50 = 3,138.33 : x
  2. Step 2: Convert to fraction form
    5,790.92/7,991.50 = 3,138.33/x
  3. Step 3: Cross multiply
    5,790.92x = 7,991.50 × 3,138.33
  4. Step 4: Simplify right side
    5,790.92x = 25,079,956.35
  5. Step 5: Solve for x
    x = 25,079,956.35/5,790.92
  6. Step 6: Final answer
    x = 4,330.91

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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.