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Finding the Fourth Proportional to 3,450.14, 5,175.24 and 853.10

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Solution

The fourth proportional to 3,450.14, 5,175.24 and 853.10 is: 1,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.14 : 5,175.24 = 853.10 : x
  2. Step 2: Convert to fraction form
    3,450.14/5,175.24 = 853.10/x
  3. Step 3: Cross multiply
    3,450.14x = 5,175.24 × 853.10
  4. Step 4: Simplify right side
    3,450.14x = 4,414,997.24
  5. Step 5: Solve for x
    x = 4,414,997.24/3,450.14
  6. Step 6: Final answer
    x = 1,279.66

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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.