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Finding the Fourth Proportional to 3,479.46, 5,211.90 and 3,180.66

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Solution

The fourth proportional to 3,479.46, 5,211.90 and 3,180.66 is: 4,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.46 : 5,211.90 = 3,180.66 : x
  2. Step 2: Convert to fraction form
    3,479.46/5,211.90 = 3,180.66/x
  3. Step 3: Cross multiply
    3,479.46x = 5,211.90 × 3,180.66
  4. Step 4: Simplify right side
    3,479.46x = 16,577,281.85
  5. Step 5: Solve for x
    x = 16,577,281.85/3,479.46
  6. Step 6: Final answer
    x = 4,764.33

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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.