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Finding the Fourth Proportional to 6,314.79, 8,713.92 and 3,519.75

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Solution

The fourth proportional to 6,314.79, 8,713.92 and 3,519.75 is: 4,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.79 : 8,713.92 = 3,519.75 : x
  2. Step 2: Convert to fraction form
    6,314.79/8,713.92 = 3,519.75/x
  3. Step 3: Cross multiply
    6,314.79x = 8,713.92 × 3,519.75
  4. Step 4: Simplify right side
    6,314.79x = 30,670,819.92
  5. Step 5: Solve for x
    x = 30,670,819.92/6,314.79
  6. Step 6: Final answer
    x = 4,856.98

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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.