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Finding the Fourth Proportional to 3,667.72, 5,500.43 and 1,201.99

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Solution

The fourth proportional to 3,667.72, 5,500.43 and 1,201.99 is: 1,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.72 : 5,500.43 = 1,201.99 : x
  2. Step 2: Convert to fraction form
    3,667.72/5,500.43 = 1,201.99/x
  3. Step 3: Cross multiply
    3,667.72x = 5,500.43 × 1,201.99
  4. Step 4: Simplify right side
    3,667.72x = 6,611,461.86
  5. Step 5: Solve for x
    x = 6,611,461.86/3,667.72
  6. Step 6: Final answer
    x = 1,802.61

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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.