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Finding the Fourth Proportional to 5,450.49, 7,523.96 and 3,684.49

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Solution

The fourth proportional to 5,450.49, 7,523.96 and 3,684.49 is: 5,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.49 : 7,523.96 = 3,684.49 : x
  2. Step 2: Convert to fraction form
    5,450.49/7,523.96 = 3,684.49/x
  3. Step 3: Cross multiply
    5,450.49x = 7,523.96 × 3,684.49
  4. Step 4: Simplify right side
    5,450.49x = 27,721,917.76
  5. Step 5: Solve for x
    x = 27,721,917.76/5,450.49
  6. Step 6: Final answer
    x = 5,086.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.