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Finding the Fourth Proportional to 3,786, 5,224.14 and 2,293.98

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Solution

The fourth proportional to 3,786, 5,224.14 and 2,293.98 is: 3,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786 : 5,224.14 = 2,293.98 : x
  2. Step 2: Convert to fraction form
    3,786/5,224.14 = 2,293.98/x
  3. Step 3: Cross multiply
    3,786x = 5,224.14 × 2,293.98
  4. Step 4: Simplify right side
    3,786x = 11,984,072.68
  5. Step 5: Solve for x
    x = 11,984,072.68/3,786
  6. Step 6: Final answer
    x = 3,165.37

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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.