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Finding the Fourth Proportional to 3,832.65, 5,749.02 and 1,200.06

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Solution

The fourth proportional to 3,832.65, 5,749.02 and 1,200.06 is: 1,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.65 : 5,749.02 = 1,200.06 : x
  2. Step 2: Convert to fraction form
    3,832.65/5,749.02 = 1,200.06/x
  3. Step 3: Cross multiply
    3,832.65x = 5,749.02 × 1,200.06
  4. Step 4: Simplify right side
    3,832.65x = 6,899,168.94
  5. Step 5: Solve for x
    x = 6,899,168.94/3,832.65
  6. Step 6: Final answer
    x = 1,800.10

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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.