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Finding the Fourth Proportional to 4,936.60, 6,812.16 and 2,698

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Solution

The fourth proportional to 4,936.60, 6,812.16 and 2,698 is: 3,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.60 : 6,812.16 = 2,698 : x
  2. Step 2: Convert to fraction form
    4,936.60/6,812.16 = 2,698/x
  3. Step 3: Cross multiply
    4,936.60x = 6,812.16 × 2,698
  4. Step 4: Simplify right side
    4,936.60x = 18,379,207.68
  5. Step 5: Solve for x
    x = 18,379,207.68/4,936.60
  6. Step 6: Final answer
    x = 3,723.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.