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Finding the Fourth Proportional to 6,109.88, 8,431.83 and 3,751.56

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Solution

The fourth proportional to 6,109.88, 8,431.83 and 3,751.56 is: 5,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.88 : 8,431.83 = 3,751.56 : x
  2. Step 2: Convert to fraction form
    6,109.88/8,431.83 = 3,751.56/x
  3. Step 3: Cross multiply
    6,109.88x = 8,431.83 × 3,751.56
  4. Step 4: Simplify right side
    6,109.88x = 31,632,516.15
  5. Step 5: Solve for x
    x = 31,632,516.15/6,109.88
  6. Step 6: Final answer
    x = 5,177.28

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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.