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Finding the Fourth Proportional to 3,841.94, 5,763.04 and 2,197.73

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Solution

The fourth proportional to 3,841.94, 5,763.04 and 2,197.73 is: 3,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.94 : 5,763.04 = 2,197.73 : x
  2. Step 2: Convert to fraction form
    3,841.94/5,763.04 = 2,197.73/x
  3. Step 3: Cross multiply
    3,841.94x = 5,763.04 × 2,197.73
  4. Step 4: Simplify right side
    3,841.94x = 12,665,605.90
  5. Step 5: Solve for x
    x = 12,665,605.90/3,841.94
  6. Step 6: Final answer
    x = 3,296.67

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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.