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Finding the Fourth Proportional to 6,314.61, 8,713.85 and 3,519.57

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Solution

The fourth proportional to 6,314.61, 8,713.85 and 3,519.57 is: 4,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.61 : 8,713.85 = 3,519.57 : x
  2. Step 2: Convert to fraction form
    6,314.61/8,713.85 = 3,519.57/x
  3. Step 3: Cross multiply
    6,314.61x = 8,713.85 × 3,519.57
  4. Step 4: Simplify right side
    6,314.61x = 30,668,987.45
  5. Step 5: Solve for x
    x = 30,668,987.45/6,314.61
  6. Step 6: Final answer
    x = 4,856.83

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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.