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Finding the Fourth Proportional to 3,832.72, 5,749.31 and 1,200.72

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Solution

The fourth proportional to 3,832.72, 5,749.31 and 1,200.72 is: 1,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.72 : 5,749.31 = 1,200.72 : x
  2. Step 2: Convert to fraction form
    3,832.72/5,749.31 = 1,200.72/x
  3. Step 3: Cross multiply
    3,832.72x = 5,749.31 × 1,200.72
  4. Step 4: Simplify right side
    3,832.72x = 6,903,311.50
  5. Step 5: Solve for x
    x = 6,903,311.50/3,832.72
  6. Step 6: Final answer
    x = 1,801.15

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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.