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Finding the Fourth Proportional to 4,936.65, 7,402.49 and 2,162.09

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Solution

The fourth proportional to 4,936.65, 7,402.49 and 2,162.09 is: 3,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.65 : 7,402.49 = 2,162.09 : x
  2. Step 2: Convert to fraction form
    4,936.65/7,402.49 = 2,162.09/x
  3. Step 3: Cross multiply
    4,936.65x = 7,402.49 × 2,162.09
  4. Step 4: Simplify right side
    4,936.65x = 16,004,865.41
  5. Step 5: Solve for x
    x = 16,004,865.41/4,936.65
  6. Step 6: Final answer
    x = 3,242.05

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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.