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Finding the Fourth Proportional to 5,739.50, 8,608.03 and 4,650.05

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Solution

The fourth proportional to 5,739.50, 8,608.03 and 4,650.05 is: 6,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.50 : 8,608.03 = 4,650.05 : x
  2. Step 2: Convert to fraction form
    5,739.50/8,608.03 = 4,650.05/x
  3. Step 3: Cross multiply
    5,739.50x = 8,608.03 × 4,650.05
  4. Step 4: Simplify right side
    5,739.50x = 40,027,769.90
  5. Step 5: Solve for x
    x = 40,027,769.90/5,739.50
  6. Step 6: Final answer
    x = 6,974.09

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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.