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Finding the Fourth Proportional to 5,149.07, 7,716.76 and 2,683.22

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Solution

The fourth proportional to 5,149.07, 7,716.76 and 2,683.22 is: 4,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.07 : 7,716.76 = 2,683.22 : x
  2. Step 2: Convert to fraction form
    5,149.07/7,716.76 = 2,683.22/x
  3. Step 3: Cross multiply
    5,149.07x = 7,716.76 × 2,683.22
  4. Step 4: Simplify right side
    5,149.07x = 20,705,790.77
  5. Step 5: Solve for x
    x = 20,705,790.77/5,149.07
  6. Step 6: Final answer
    x = 4,021.27

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