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Finding the Fourth Proportional to 3,786.60, 5,224.63 and 2,294.49

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Solution

The fourth proportional to 3,786.60, 5,224.63 and 2,294.49 is: 3,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.60 : 5,224.63 = 2,294.49 : x
  2. Step 2: Convert to fraction form
    3,786.60/5,224.63 = 2,294.49/x
  3. Step 3: Cross multiply
    3,786.60x = 5,224.63 × 2,294.49
  4. Step 4: Simplify right side
    3,786.60x = 11,987,861.29
  5. Step 5: Solve for x
    x = 11,987,861.29/3,786.60
  6. Step 6: Final answer
    x = 3,165.86

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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.