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Finding the Fourth Proportional to 3,667.69, 5,502.08 and 1,327.87

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Solution

The fourth proportional to 3,667.69, 5,502.08 and 1,327.87 is: 1,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.69 : 5,502.08 = 1,327.87 : x
  2. Step 2: Convert to fraction form
    3,667.69/5,502.08 = 1,327.87/x
  3. Step 3: Cross multiply
    3,667.69x = 5,502.08 × 1,327.87
  4. Step 4: Simplify right side
    3,667.69x = 7,306,046.97
  5. Step 5: Solve for x
    x = 7,306,046.97/3,667.69
  6. Step 6: Final answer
    x = 1,992.00

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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.