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Finding the Fourth Proportional to 3,667.70, 5,491.83 and 1,932.68

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Solution

The fourth proportional to 3,667.70, 5,491.83 and 1,932.68 is: 2,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.70 : 5,491.83 = 1,932.68 : x
  2. Step 2: Convert to fraction form
    3,667.70/5,491.83 = 1,932.68/x
  3. Step 3: Cross multiply
    3,667.70x = 5,491.83 × 1,932.68
  4. Step 4: Simplify right side
    3,667.70x = 10,613,950.00
  5. Step 5: Solve for x
    x = 10,613,950.00/3,667.70
  6. Step 6: Final answer
    x = 2,893.90

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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.