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Finding the Fourth Proportional to 4,336.43, 6,505.02 and 3,180.80

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Solution

The fourth proportional to 4,336.43, 6,505.02 and 3,180.80 is: 4,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.43 : 6,505.02 = 3,180.80 : x
  2. Step 2: Convert to fraction form
    4,336.43/6,505.02 = 3,180.80/x
  3. Step 3: Cross multiply
    4,336.43x = 6,505.02 × 3,180.80
  4. Step 4: Simplify right side
    4,336.43x = 20,691,167.62
  5. Step 5: Solve for x
    x = 20,691,167.62/4,336.43
  6. Step 6: Final answer
    x = 4,771.48

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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.