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Finding the Fourth Proportional to 3,665.25, 5,493.02 and 2,022.57

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Solution

The fourth proportional to 3,665.25, 5,493.02 and 2,022.57 is: 3,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.25 : 5,493.02 = 2,022.57 : x
  2. Step 2: Convert to fraction form
    3,665.25/5,493.02 = 2,022.57/x
  3. Step 3: Cross multiply
    3,665.25x = 5,493.02 × 2,022.57
  4. Step 4: Simplify right side
    3,665.25x = 11,110,007.35
  5. Step 5: Solve for x
    x = 11,110,007.35/3,665.25
  6. Step 6: Final answer
    x = 3,031.17

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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.