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Finding the Fourth Proportional to 3,446.62, 5,172.38 and 1,367.08

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Solution

The fourth proportional to 3,446.62, 5,172.38 and 1,367.08 is: 2,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.62 : 5,172.38 = 1,367.08 : x
  2. Step 2: Convert to fraction form
    3,446.62/5,172.38 = 1,367.08/x
  3. Step 3: Cross multiply
    3,446.62x = 5,172.38 × 1,367.08
  4. Step 4: Simplify right side
    3,446.62x = 7,071,057.25
  5. Step 5: Solve for x
    x = 7,071,057.25/3,446.62
  6. Step 6: Final answer
    x = 2,051.59

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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.