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Finding the Fourth Proportional to 3,794.85, 5,685.26 and 3,182.49

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Solution

The fourth proportional to 3,794.85, 5,685.26 and 3,182.49 is: 4,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.85 : 5,685.26 = 3,182.49 : x
  2. Step 2: Convert to fraction form
    3,794.85/5,685.26 = 3,182.49/x
  3. Step 3: Cross multiply
    3,794.85x = 5,685.26 × 3,182.49
  4. Step 4: Simplify right side
    3,794.85x = 18,093,267.18
  5. Step 5: Solve for x
    x = 18,093,267.18/3,794.85
  6. Step 6: Final answer
    x = 4,767.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.