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Finding the Fourth Proportional to 5,713.39, 7,884.44 and 3,195.77

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Solution

The fourth proportional to 5,713.39, 7,884.44 and 3,195.77 is: 4,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.39 : 7,884.44 = 3,195.77 : x
  2. Step 2: Convert to fraction form
    5,713.39/7,884.44 = 3,195.77/x
  3. Step 3: Cross multiply
    5,713.39x = 7,884.44 × 3,195.77
  4. Step 4: Simplify right side
    5,713.39x = 25,196,874.38
  5. Step 5: Solve for x
    x = 25,196,874.38/5,713.39
  6. Step 6: Final answer
    x = 4,410.15

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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.