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Finding the Fourth Proportional to 6,313.89, 8,713.23 and 3,481.37

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Solution

The fourth proportional to 6,313.89, 8,713.23 and 3,481.37 is: 4,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.89 : 8,713.23 = 3,481.37 : x
  2. Step 2: Convert to fraction form
    6,313.89/8,713.23 = 3,481.37/x
  3. Step 3: Cross multiply
    6,313.89x = 8,713.23 × 3,481.37
  4. Step 4: Simplify right side
    6,313.89x = 30,333,933.96
  5. Step 5: Solve for x
    x = 30,333,933.96/6,313.89
  6. Step 6: Final answer
    x = 4,804.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.