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Finding the Fourth Proportional to 3,771.01, 5,657.14 and 1,399.22

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Solution

The fourth proportional to 3,771.01, 5,657.14 and 1,399.22 is: 2,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.01 : 5,657.14 = 1,399.22 : x
  2. Step 2: Convert to fraction form
    3,771.01/5,657.14 = 1,399.22/x
  3. Step 3: Cross multiply
    3,771.01x = 5,657.14 × 1,399.22
  4. Step 4: Simplify right side
    3,771.01x = 7,915,609.93
  5. Step 5: Solve for x
    x = 7,915,609.93/3,771.01
  6. Step 6: Final answer
    x = 2,099.07

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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.