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Finding the Fourth Proportional to 5,790.86, 7,991.36 and 3,138.34

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Solution

The fourth proportional to 5,790.86, 7,991.36 and 3,138.34 is: 4,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.86 : 7,991.36 = 3,138.34 : x
  2. Step 2: Convert to fraction form
    5,790.86/7,991.36 = 3,138.34/x
  3. Step 3: Cross multiply
    5,790.86x = 7,991.36 × 3,138.34
  4. Step 4: Simplify right side
    5,790.86x = 25,079,604.74
  5. Step 5: Solve for x
    x = 25,079,604.74/5,790.86
  6. Step 6: Final answer
    x = 4,330.89

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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.