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Finding the Fourth Proportional to 3,785.98, 5,222.96 and 2,213.38

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Solution

The fourth proportional to 3,785.98, 5,222.96 and 2,213.38 is: 3,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.98 : 5,222.96 = 2,213.38 : x
  2. Step 2: Convert to fraction form
    3,785.98/5,222.96 = 2,213.38/x
  3. Step 3: Cross multiply
    3,785.98x = 5,222.96 × 2,213.38
  4. Step 4: Simplify right side
    3,785.98x = 11,560,395.20
  5. Step 5: Solve for x
    x = 11,560,395.20/3,785.98
  6. Step 6: Final answer
    x = 3,053.47

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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.