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Finding the Fourth Proportional to 3,449.28, 5,174.48 and 1,369.29

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Solution

The fourth proportional to 3,449.28, 5,174.48 and 1,369.29 is: 2,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.28 : 5,174.48 = 1,369.29 : x
  2. Step 2: Convert to fraction form
    3,449.28/5,174.48 = 1,369.29/x
  3. Step 3: Cross multiply
    3,449.28x = 5,174.48 × 1,369.29
  4. Step 4: Simplify right side
    3,449.28x = 7,085,363.72
  5. Step 5: Solve for x
    x = 7,085,363.72/3,449.28
  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.