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Finding the Fourth Proportional to 3,786.98, 5,224.76 and 2,294.34

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Solution

The fourth proportional to 3,786.98, 5,224.76 and 2,294.34 is: 3,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.98 : 5,224.76 = 2,294.34 : x
  2. Step 2: Convert to fraction form
    3,786.98/5,224.76 = 2,294.34/x
  3. Step 3: Cross multiply
    3,786.98x = 5,224.76 × 2,294.34
  4. Step 4: Simplify right side
    3,786.98x = 11,987,375.86
  5. Step 5: Solve for x
    x = 11,987,375.86/3,786.98
  6. Step 6: Final answer
    x = 3,165.42

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