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Finding the Fourth Proportional to 5,694.44, 7,857.06 and 3,336.44

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Solution

The fourth proportional to 5,694.44, 7,857.06 and 3,336.44 is: 4,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.44 : 7,857.06 = 3,336.44 : x
  2. Step 2: Convert to fraction form
    5,694.44/7,857.06 = 3,336.44/x
  3. Step 3: Cross multiply
    5,694.44x = 7,857.06 × 3,336.44
  4. Step 4: Simplify right side
    5,694.44x = 26,214,609.27
  5. Step 5: Solve for x
    x = 26,214,609.27/5,694.44
  6. Step 6: Final answer
    x = 4,603.54

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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.