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Finding the Fourth Proportional to 6,313.96, 8,713.38 and 3,519.16

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Solution

The fourth proportional to 6,313.96, 8,713.38 and 3,519.16 is: 4,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.96 : 8,713.38 = 3,519.16 : x
  2. Step 2: Convert to fraction form
    6,313.96/8,713.38 = 3,519.16/x
  3. Step 3: Cross multiply
    6,313.96x = 8,713.38 × 3,519.16
  4. Step 4: Simplify right side
    6,313.96x = 30,663,778.36
  5. Step 5: Solve for x
    x = 30,663,778.36/6,313.96
  6. Step 6: Final answer
    x = 4,856.51

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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.