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Finding the Fourth Proportional to 5,546.57, 7,652.43 and 3,659.09

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Solution

The fourth proportional to 5,546.57, 7,652.43 and 3,659.09 is: 5,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.57 : 7,652.43 = 3,659.09 : x
  2. Step 2: Convert to fraction form
    5,546.57/7,652.43 = 3,659.09/x
  3. Step 3: Cross multiply
    5,546.57x = 7,652.43 × 3,659.09
  4. Step 4: Simplify right side
    5,546.57x = 28,000,930.09
  5. Step 5: Solve for x
    x = 28,000,930.09/5,546.57
  6. Step 6: Final answer
    x = 5,048.33

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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.