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Finding the Fourth Proportional to 3,906.24, 5,860.44 and 3,476.40

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Solution

The fourth proportional to 3,906.24, 5,860.44 and 3,476.40 is: 5,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.24 : 5,860.44 = 3,476.40 : x
  2. Step 2: Convert to fraction form
    3,906.24/5,860.44 = 3,476.40/x
  3. Step 3: Cross multiply
    3,906.24x = 5,860.44 × 3,476.40
  4. Step 4: Simplify right side
    3,906.24x = 20,373,233.62
  5. Step 5: Solve for x
    x = 20,373,233.62/3,906.24
  6. Step 6: Final answer
    x = 5,215.56

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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.