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Finding the Fourth Proportional to 3,450.49, 5,175.68 and 853.42

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Solution

The fourth proportional to 3,450.49, 5,175.68 and 853.42 is: 1,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.49 : 5,175.68 = 853.42 : x
  2. Step 2: Convert to fraction form
    3,450.49/5,175.68 = 853.42/x
  3. Step 3: Cross multiply
    3,450.49x = 5,175.68 × 853.42
  4. Step 4: Simplify right side
    3,450.49x = 4,417,028.83
  5. Step 5: Solve for x
    x = 4,417,028.83/3,450.49
  6. Step 6: Final answer
    x = 1,280.12

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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.