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Finding the Fourth Proportional to 4,936.33, 6,812.02 and 2,698.15

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Solution

The fourth proportional to 4,936.33, 6,812.02 and 2,698.15 is: 3,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.33 : 6,812.02 = 2,698.15 : x
  2. Step 2: Convert to fraction form
    4,936.33/6,812.02 = 2,698.15/x
  3. Step 3: Cross multiply
    4,936.33x = 6,812.02 × 2,698.15
  4. Step 4: Simplify right side
    4,936.33x = 18,379,851.76
  5. Step 5: Solve for x
    x = 18,379,851.76/4,936.33
  6. Step 6: Final answer
    x = 3,723.38

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Why These Related Problems?

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