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Finding the Fourth Proportional to 3,669.49, 5,496 and 2,022.49

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Solution

The fourth proportional to 3,669.49, 5,496 and 2,022.49 is: 3,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.49 : 5,496 = 2,022.49 : x
  2. Step 2: Convert to fraction form
    3,669.49/5,496 = 2,022.49/x
  3. Step 3: Cross multiply
    3,669.49x = 5,496 × 2,022.49
  4. Step 4: Simplify right side
    3,669.49x = 11,115,605.04
  5. Step 5: Solve for x
    x = 11,115,605.04/3,669.49
  6. Step 6: Final answer
    x = 3,029.20

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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.