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Finding the Fourth Proportional to 3,796.80, 5,695.98 and 1,605.54

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Solution

The fourth proportional to 3,796.80, 5,695.98 and 1,605.54 is: 2,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.80 : 5,695.98 = 1,605.54 : x
  2. Step 2: Convert to fraction form
    3,796.80/5,695.98 = 1,605.54/x
  3. Step 3: Cross multiply
    3,796.80x = 5,695.98 × 1,605.54
  4. Step 4: Simplify right side
    3,796.80x = 9,145,123.73
  5. Step 5: Solve for x
    x = 9,145,123.73/3,796.80
  6. Step 6: Final answer
    x = 2,408.64

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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.