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Finding the Fourth Proportional to 3,450.35, 5,174.42 and 1,369.73

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Solution

The fourth proportional to 3,450.35, 5,174.42 and 1,369.73 is: 2,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.35 : 5,174.42 = 1,369.73 : x
  2. Step 2: Convert to fraction form
    3,450.35/5,174.42 = 1,369.73/x
  3. Step 3: Cross multiply
    3,450.35x = 5,174.42 × 1,369.73
  4. Step 4: Simplify right side
    3,450.35x = 7,087,564.39
  5. Step 5: Solve for x
    x = 7,087,564.39/3,450.35
  6. Step 6: Final answer
    x = 2,054.16

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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.