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Finding the Fourth Proportional to 5,909.57, 8,861.22 and 1,749.01

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Solution

The fourth proportional to 5,909.57, 8,861.22 and 1,749.01 is: 2,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.57 : 8,861.22 = 1,749.01 : x
  2. Step 2: Convert to fraction form
    5,909.57/8,861.22 = 1,749.01/x
  3. Step 3: Cross multiply
    5,909.57x = 8,861.22 × 1,749.01
  4. Step 4: Simplify right side
    5,909.57x = 15,498,309.34
  5. Step 5: Solve for x
    x = 15,498,309.34/5,909.57
  6. Step 6: Final answer
    x = 2,622.58

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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.