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Finding the Fourth Proportional to 3,796.65, 5,687.10 and 3,519.81

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Solution

The fourth proportional to 3,796.65, 5,687.10 and 3,519.81 is: 5,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.65 : 5,687.10 = 3,519.81 : x
  2. Step 2: Convert to fraction form
    3,796.65/5,687.10 = 3,519.81/x
  3. Step 3: Cross multiply
    3,796.65x = 5,687.10 × 3,519.81
  4. Step 4: Simplify right side
    3,796.65x = 20,017,511.45
  5. Step 5: Solve for x
    x = 20,017,511.45/3,796.65
  6. Step 6: Final answer
    x = 5,272.41

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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.