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Finding the Fourth Proportional to 3,794.50, 5,231.42 and 3,318.09

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Solution

The fourth proportional to 3,794.50, 5,231.42 and 3,318.09 is: 4,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.50 : 5,231.42 = 3,318.09 : x
  2. Step 2: Convert to fraction form
    3,794.50/5,231.42 = 3,318.09/x
  3. Step 3: Cross multiply
    3,794.50x = 5,231.42 × 3,318.09
  4. Step 4: Simplify right side
    3,794.50x = 17,358,279.64
  5. Step 5: Solve for x
    x = 17,358,279.64/3,794.50
  6. Step 6: Final answer
    x = 4,574.59

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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.