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Finding the Fourth Proportional to 4,664.50, 6,996.75 and 3,199.21

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Solution

The fourth proportional to 4,664.50, 6,996.75 and 3,199.21 is: 4,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.50 : 6,996.75 = 3,199.21 : x
  2. Step 2: Convert to fraction form
    4,664.50/6,996.75 = 3,199.21/x
  3. Step 3: Cross multiply
    4,664.50x = 6,996.75 × 3,199.21
  4. Step 4: Simplify right side
    4,664.50x = 22,384,043.08
  5. Step 5: Solve for x
    x = 22,384,043.08/4,664.50
  6. Step 6: Final answer
    x = 4,798.81

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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.