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Finding the Fourth Proportional to 3,809.52, 5,705.41 and 3,704.43

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Solution

The fourth proportional to 3,809.52, 5,705.41 and 3,704.43 is: 5,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.52 : 5,705.41 = 3,704.43 : x
  2. Step 2: Convert to fraction form
    3,809.52/5,705.41 = 3,704.43/x
  3. Step 3: Cross multiply
    3,809.52x = 5,705.41 × 3,704.43
  4. Step 4: Simplify right side
    3,809.52x = 21,135,291.97
  5. Step 5: Solve for x
    x = 21,135,291.97/3,809.52
  6. Step 6: Final answer
    x = 5,548.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.