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Finding the Fourth Proportional to 3,847.96, 5,771.22 and 2,396.08

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Solution

The fourth proportional to 3,847.96, 5,771.22 and 2,396.08 is: 3,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.96 : 5,771.22 = 2,396.08 : x
  2. Step 2: Convert to fraction form
    3,847.96/5,771.22 = 2,396.08/x
  3. Step 3: Cross multiply
    3,847.96x = 5,771.22 × 2,396.08
  4. Step 4: Simplify right side
    3,847.96x = 13,828,304.82
  5. Step 5: Solve for x
    x = 13,828,304.82/3,847.96
  6. Step 6: Final answer
    x = 3,593.67

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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.