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Finding the Fourth Proportional to 3,806.76, 5,711.90 and 1,343.42

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Solution

The fourth proportional to 3,806.76, 5,711.90 and 1,343.42 is: 2,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.76 : 5,711.90 = 1,343.42 : x
  2. Step 2: Convert to fraction form
    3,806.76/5,711.90 = 1,343.42/x
  3. Step 3: Cross multiply
    3,806.76x = 5,711.90 × 1,343.42
  4. Step 4: Simplify right side
    3,806.76x = 7,673,480.70
  5. Step 5: Solve for x
    x = 7,673,480.70/3,806.76
  6. Step 6: Final answer
    x = 2,015.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.