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Finding the Fourth Proportional to 3,768.58, 5,653.68 and 1,171.72

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Solution

The fourth proportional to 3,768.58, 5,653.68 and 1,171.72 is: 1,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.58 : 5,653.68 = 1,171.72 : x
  2. Step 2: Convert to fraction form
    3,768.58/5,653.68 = 1,171.72/x
  3. Step 3: Cross multiply
    3,768.58x = 5,653.68 × 1,171.72
  4. Step 4: Simplify right side
    3,768.58x = 6,624,529.93
  5. Step 5: Solve for x
    x = 6,624,529.93/3,768.58
  6. Step 6: Final answer
    x = 1,757.83

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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.