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Finding the Fourth Proportional to 5,711.57, 7,881.19 and 3,193.37

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Solution

The fourth proportional to 5,711.57, 7,881.19 and 3,193.37 is: 4,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.57 : 7,881.19 = 3,193.37 : x
  2. Step 2: Convert to fraction form
    5,711.57/7,881.19 = 3,193.37/x
  3. Step 3: Cross multiply
    5,711.57x = 7,881.19 × 3,193.37
  4. Step 4: Simplify right side
    5,711.57x = 25,167,555.71
  5. Step 5: Solve for x
    x = 25,167,555.71/5,711.57
  6. Step 6: Final answer
    x = 4,406.42

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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.