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Finding the Fourth Proportional to 5,713.06, 7,884.21 and 3,195.10

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Solution

The fourth proportional to 5,713.06, 7,884.21 and 3,195.10 is: 4,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.06 : 7,884.21 = 3,195.10 : x
  2. Step 2: Convert to fraction form
    5,713.06/7,884.21 = 3,195.10/x
  3. Step 3: Cross multiply
    5,713.06x = 7,884.21 × 3,195.10
  4. Step 4: Simplify right side
    5,713.06x = 25,190,839.37
  5. Step 5: Solve for x
    x = 25,190,839.37/5,713.06
  6. Step 6: Final answer
    x = 4,409.34

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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.