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Finding the Fourth Proportional to 4,209.49, 5,805.69 and 3,704.25

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Solution

The fourth proportional to 4,209.49, 5,805.69 and 3,704.25 is: 5,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.49 : 5,805.69 = 3,704.25 : x
  2. Step 2: Convert to fraction form
    4,209.49/5,805.69 = 3,704.25/x
  3. Step 3: Cross multiply
    4,209.49x = 5,805.69 × 3,704.25
  4. Step 4: Simplify right side
    4,209.49x = 21,505,723.18
  5. Step 5: Solve for x
    x = 21,505,723.18/4,209.49
  6. Step 6: Final answer
    x = 5,108.87

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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.