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Finding the Fourth Proportional to 5,819.54, 8,027.54 and 3,662.64

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Solution

The fourth proportional to 5,819.54, 8,027.54 and 3,662.64 is: 5,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.54 : 8,027.54 = 3,662.64 : x
  2. Step 2: Convert to fraction form
    5,819.54/8,027.54 = 3,662.64/x
  3. Step 3: Cross multiply
    5,819.54x = 8,027.54 × 3,662.64
  4. Step 4: Simplify right side
    5,819.54x = 29,401,989.11
  5. Step 5: Solve for x
    x = 29,401,989.11/5,819.54
  6. Step 6: Final answer
    x = 5,052.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.