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Finding the Fourth Proportional to 3,803.68, 5,249.10 and 2,231.80

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Solution

The fourth proportional to 3,803.68, 5,249.10 and 2,231.80 is: 3,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.68 : 5,249.10 = 2,231.80 : x
  2. Step 2: Convert to fraction form
    3,803.68/5,249.10 = 2,231.80/x
  3. Step 3: Cross multiply
    3,803.68x = 5,249.10 × 2,231.80
  4. Step 4: Simplify right side
    3,803.68x = 11,714,941.38
  5. Step 5: Solve for x
    x = 11,714,941.38/3,803.68
  6. Step 6: Final answer
    x = 3,079.90

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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.