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Finding the Fourth Proportional to 3,768.96, 5,653.44 and 1,171.70

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Solution

The fourth proportional to 3,768.96, 5,653.44 and 1,171.70 is: 1,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.96 : 5,653.44 = 1,171.70 : x
  2. Step 2: Convert to fraction form
    3,768.96/5,653.44 = 1,171.70/x
  3. Step 3: Cross multiply
    3,768.96x = 5,653.44 × 1,171.70
  4. Step 4: Simplify right side
    3,768.96x = 6,624,107.38
  5. Step 5: Solve for x
    x = 6,624,107.38/3,768.96
  6. Step 6: Final answer
    x = 1,757.54

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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.