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Finding the Fourth Proportional to 3,667.82, 5,502.26 and 1,328

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Solution

The fourth proportional to 3,667.82, 5,502.26 and 1,328 is: 1,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.82 : 5,502.26 = 1,328 : x
  2. Step 2: Convert to fraction form
    3,667.82/5,502.26 = 1,328/x
  3. Step 3: Cross multiply
    3,667.82x = 5,502.26 × 1,328
  4. Step 4: Simplify right side
    3,667.82x = 7,307,001.28
  5. Step 5: Solve for x
    x = 7,307,001.28/3,667.82
  6. Step 6: Final answer
    x = 1,992.19

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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.