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Finding the Fourth Proportional to 5,757.24, 8,638.80 and 2,469.46

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Solution

The fourth proportional to 5,757.24, 8,638.80 and 2,469.46 is: 3,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.24 : 8,638.80 = 2,469.46 : x
  2. Step 2: Convert to fraction form
    5,757.24/8,638.80 = 2,469.46/x
  3. Step 3: Cross multiply
    5,757.24x = 8,638.80 × 2,469.46
  4. Step 4: Simplify right side
    5,757.24x = 21,333,171.05
  5. Step 5: Solve for x
    x = 21,333,171.05/5,757.24
  6. Step 6: Final answer
    x = 3,705.45

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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.