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Finding the Fourth Proportional to 5,713.86, 7,884.72 and 3,195.84

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Solution

The fourth proportional to 5,713.86, 7,884.72 and 3,195.84 is: 4,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.86 : 7,884.72 = 3,195.84 : x
  2. Step 2: Convert to fraction form
    5,713.86/7,884.72 = 3,195.84/x
  3. Step 3: Cross multiply
    5,713.86x = 7,884.72 × 3,195.84
  4. Step 4: Simplify right side
    5,713.86x = 25,198,303.56
  5. Step 5: Solve for x
    x = 25,198,303.56/5,713.86
  6. Step 6: Final answer
    x = 4,410.03

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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.