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Finding the Fourth Proportional to 5,790.75, 7,991.23 and 3,138.15

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Solution

The fourth proportional to 5,790.75, 7,991.23 and 3,138.15 is: 4,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.75 : 7,991.23 = 3,138.15 : x
  2. Step 2: Convert to fraction form
    5,790.75/7,991.23 = 3,138.15/x
  3. Step 3: Cross multiply
    5,790.75x = 7,991.23 × 3,138.15
  4. Step 4: Simplify right side
    5,790.75x = 25,077,712.31
  5. Step 5: Solve for x
    x = 25,077,712.31/5,790.75
  6. Step 6: Final answer
    x = 4,330.65

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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.