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Finding the Fourth Proportional to 3,792.25, 5,685.49 and 2,058.49

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Solution

The fourth proportional to 3,792.25, 5,685.49 and 2,058.49 is: 3,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.25 : 5,685.49 = 2,058.49 : x
  2. Step 2: Convert to fraction form
    3,792.25/5,685.49 = 2,058.49/x
  3. Step 3: Cross multiply
    3,792.25x = 5,685.49 × 2,058.49
  4. Step 4: Simplify right side
    3,792.25x = 11,703,524.31
  5. Step 5: Solve for x
    x = 11,703,524.31/3,792.25
  6. Step 6: Final answer
    x = 3,086.17

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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.