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Finding the Fourth Proportional to 3,466.08, 5,201.55 and 2,003.22

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Solution

The fourth proportional to 3,466.08, 5,201.55 and 2,003.22 is: 3,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.08 : 5,201.55 = 2,003.22 : x
  2. Step 2: Convert to fraction form
    3,466.08/5,201.55 = 2,003.22/x
  3. Step 3: Cross multiply
    3,466.08x = 5,201.55 × 2,003.22
  4. Step 4: Simplify right side
    3,466.08x = 10,419,848.99
  5. Step 5: Solve for x
    x = 10,419,848.99/3,466.08
  6. Step 6: Final answer
    x = 3,006.23

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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.