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Finding the Fourth Proportional to 3,832.68, 5,749.56 and 1,235.01

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Solution

The fourth proportional to 3,832.68, 5,749.56 and 1,235.01 is: 1,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.68 : 5,749.56 = 1,235.01 : x
  2. Step 2: Convert to fraction form
    3,832.68/5,749.56 = 1,235.01/x
  3. Step 3: Cross multiply
    3,832.68x = 5,749.56 × 1,235.01
  4. Step 4: Simplify right side
    3,832.68x = 7,100,764.10
  5. Step 5: Solve for x
    x = 7,100,764.10/3,832.68
  6. Step 6: Final answer
    x = 1,852.69

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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.