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Finding the Fourth Proportional to 3,667.14, 5,500.20 and 1,201.67

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Solution

The fourth proportional to 3,667.14, 5,500.20 and 1,201.67 is: 1,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.14 : 5,500.20 = 1,201.67 : x
  2. Step 2: Convert to fraction form
    3,667.14/5,500.20 = 1,201.67/x
  3. Step 3: Cross multiply
    3,667.14x = 5,500.20 × 1,201.67
  4. Step 4: Simplify right side
    3,667.14x = 6,609,397.83
  5. Step 5: Solve for x
    x = 6,609,397.83/3,667.14
  6. Step 6: Final answer
    x = 1,802.33

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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.