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Finding the Fourth Proportional to 4,191, 5,781.96 and 3,195.24

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Solution

The fourth proportional to 4,191, 5,781.96 and 3,195.24 is: 4,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 5,781.96 = 3,195.24 : x
  2. Step 2: Convert to fraction form
    4,191/5,781.96 = 3,195.24/x
  3. Step 3: Cross multiply
    4,191x = 5,781.96 × 3,195.24
  4. Step 4: Simplify right side
    4,191x = 18,474,749.87
  5. Step 5: Solve for x
    x = 18,474,749.87/4,191
  6. Step 6: Final answer
    x = 4,408.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.