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Finding the Fourth Proportional to 5,494.69, 8,234.92 and 3,519.55

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Solution

The fourth proportional to 5,494.69, 8,234.92 and 3,519.55 is: 5,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.69 : 8,234.92 = 3,519.55 : x
  2. Step 2: Convert to fraction form
    5,494.69/8,234.92 = 3,519.55/x
  3. Step 3: Cross multiply
    5,494.69x = 8,234.92 × 3,519.55
  4. Step 4: Simplify right side
    5,494.69x = 28,983,207.58
  5. Step 5: Solve for x
    x = 28,983,207.58/5,494.69
  6. Step 6: Final answer
    x = 5,274.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.