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Finding the Fourth Proportional to 3,441.87, 5,175.26 and 3,171.23

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Solution

The fourth proportional to 3,441.87, 5,175.26 and 3,171.23 is: 4,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.87 : 5,175.26 = 3,171.23 : x
  2. Step 2: Convert to fraction form
    3,441.87/5,175.26 = 3,171.23/x
  3. Step 3: Cross multiply
    3,441.87x = 5,175.26 × 3,171.23
  4. Step 4: Simplify right side
    3,441.87x = 16,411,939.77
  5. Step 5: Solve for x
    x = 16,411,939.77/3,441.87
  6. Step 6: Final answer
    x = 4,768.32

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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.