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Finding the Fourth Proportional to 3,467.67, 5,201.70 and 1,822.15

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Solution

The fourth proportional to 3,467.67, 5,201.70 and 1,822.15 is: 2,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.67 : 5,201.70 = 1,822.15 : x
  2. Step 2: Convert to fraction form
    3,467.67/5,201.70 = 1,822.15/x
  3. Step 3: Cross multiply
    3,467.67x = 5,201.70 × 1,822.15
  4. Step 4: Simplify right side
    3,467.67x = 9,478,277.66
  5. Step 5: Solve for x
    x = 9,478,277.66/3,467.67
  6. Step 6: Final answer
    x = 2,733.33

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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.