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Finding the Fourth Proportional to 4,936.83, 7,400.13 and 2,162.97

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Solution

The fourth proportional to 4,936.83, 7,400.13 and 2,162.97 is: 3,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.83 : 7,400.13 = 2,162.97 : x
  2. Step 2: Convert to fraction form
    4,936.83/7,400.13 = 2,162.97/x
  3. Step 3: Cross multiply
    4,936.83x = 7,400.13 × 2,162.97
  4. Step 4: Simplify right side
    4,936.83x = 16,006,259.19
  5. Step 5: Solve for x
    x = 16,006,259.19/4,936.83
  6. Step 6: Final answer
    x = 3,242.21

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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.