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Finding the Fourth Proportional to 3,832.75, 5,749.13 and 1,235.69

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Solution

The fourth proportional to 3,832.75, 5,749.13 and 1,235.69 is: 1,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.75 : 5,749.13 = 1,235.69 : x
  2. Step 2: Convert to fraction form
    3,832.75/5,749.13 = 1,235.69/x
  3. Step 3: Cross multiply
    3,832.75x = 5,749.13 × 1,235.69
  4. Step 4: Simplify right side
    3,832.75x = 7,104,142.45
  5. Step 5: Solve for x
    x = 7,104,142.45/3,832.75
  6. Step 6: Final answer
    x = 1,853.54

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Similar ratio
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1.5x scale

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.