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Finding the Fourth Proportional to 3,396.34, 5,093.94 and 930.73

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Solution

The fourth proportional to 3,396.34, 5,093.94 and 930.73 is: 1,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.34 : 5,093.94 = 930.73 : x
  2. Step 2: Convert to fraction form
    3,396.34/5,093.94 = 930.73/x
  3. Step 3: Cross multiply
    3,396.34x = 5,093.94 × 930.73
  4. Step 4: Simplify right side
    3,396.34x = 4,741,082.78
  5. Step 5: Solve for x
    x = 4,741,082.78/3,396.34
  6. Step 6: Final answer
    x = 1,395.94

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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.