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Finding the Fourth Proportional to 3,172.26, 4,377.64 and 1,736.57

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Solution

The fourth proportional to 3,172.26, 4,377.64 and 1,736.57 is: 2,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.26 : 4,377.64 = 1,736.57 : x
  2. Step 2: Convert to fraction form
    3,172.26/4,377.64 = 1,736.57/x
  3. Step 3: Cross multiply
    3,172.26x = 4,377.64 × 1,736.57
  4. Step 4: Simplify right side
    3,172.26x = 7,602,078.29
  5. Step 5: Solve for x
    x = 7,602,078.29/3,172.26
  6. Step 6: Final answer
    x = 2,396.42

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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.