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Finding the Fourth Proportional to 5,717.26, 7,889.74 and 3,199.33

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Solution

The fourth proportional to 5,717.26, 7,889.74 and 3,199.33 is: 4,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.26 : 7,889.74 = 3,199.33 : x
  2. Step 2: Convert to fraction form
    5,717.26/7,889.74 = 3,199.33/x
  3. Step 3: Cross multiply
    5,717.26x = 7,889.74 × 3,199.33
  4. Step 4: Simplify right side
    5,717.26x = 25,241,881.87
  5. Step 5: Solve for x
    x = 25,241,881.87/5,717.26
  6. Step 6: Final answer
    x = 4,415.03

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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.