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Finding the Fourth Proportional to 5,713.74, 7,884.23 and 3,195.99

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Solution

The fourth proportional to 5,713.74, 7,884.23 and 3,195.99 is: 4,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.74 : 7,884.23 = 3,195.99 : x
  2. Step 2: Convert to fraction form
    5,713.74/7,884.23 = 3,195.99/x
  3. Step 3: Cross multiply
    5,713.74x = 7,884.23 × 3,195.99
  4. Step 4: Simplify right side
    5,713.74x = 25,197,904.26
  5. Step 5: Solve for x
    x = 25,197,904.26/5,713.74
  6. Step 6: Final answer
    x = 4,410.05

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