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Finding the Fourth Proportional to 5,768.96, 7,961.17 and 3,116.37

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Solution

The fourth proportional to 5,768.96, 7,961.17 and 3,116.37 is: 4,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.96 : 7,961.17 = 3,116.37 : x
  2. Step 2: Convert to fraction form
    5,768.96/7,961.17 = 3,116.37/x
  3. Step 3: Cross multiply
    5,768.96x = 7,961.17 × 3,116.37
  4. Step 4: Simplify right side
    5,768.96x = 24,809,922.31
  5. Step 5: Solve for x
    x = 24,809,922.31/5,768.96
  6. Step 6: Final answer
    x = 4,300.59

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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.