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Finding the Fourth Proportional to 3,450.53, 5,175.83 and 985.43

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Solution

The fourth proportional to 3,450.53, 5,175.83 and 985.43 is: 1,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.53 : 5,175.83 = 985.43 : x
  2. Step 2: Convert to fraction form
    3,450.53/5,175.83 = 985.43/x
  3. Step 3: Cross multiply
    3,450.53x = 5,175.83 × 985.43
  4. Step 4: Simplify right side
    3,450.53x = 5,100,394.74
  5. Step 5: Solve for x
    x = 5,100,394.74/3,450.53
  6. Step 6: Final answer
    x = 1,478.15

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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.