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Finding the Fourth Proportional to 4,736.60, 7,107.60 and 3,276.80

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Solution

The fourth proportional to 4,736.60, 7,107.60 and 3,276.80 is: 4,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.60 : 7,107.60 = 3,276.80 : x
  2. Step 2: Convert to fraction form
    4,736.60/7,107.60 = 3,276.80/x
  3. Step 3: Cross multiply
    4,736.60x = 7,107.60 × 3,276.80
  4. Step 4: Simplify right side
    4,736.60x = 23,290,183.68
  5. Step 5: Solve for x
    x = 23,290,183.68/4,736.60
  6. Step 6: Final answer
    x = 4,917.07

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Why These Related Problems?

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