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Finding the Fourth Proportional to 3,387.49, 5,083.97 and 1,744.51

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Solution

The fourth proportional to 3,387.49, 5,083.97 and 1,744.51 is: 2,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.49 : 5,083.97 = 1,744.51 : x
  2. Step 2: Convert to fraction form
    3,387.49/5,083.97 = 1,744.51/x
  3. Step 3: Cross multiply
    3,387.49x = 5,083.97 × 1,744.51
  4. Step 4: Simplify right side
    3,387.49x = 8,869,028.16
  5. Step 5: Solve for x
    x = 8,869,028.16/3,387.49
  6. Step 6: Final answer
    x = 2,618.17

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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.