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Finding the Fourth Proportional to 3,906.42, 5,858.22 and 1,308.76

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Solution

The fourth proportional to 3,906.42, 5,858.22 and 1,308.76 is: 1,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.42 : 5,858.22 = 1,308.76 : x
  2. Step 2: Convert to fraction form
    3,906.42/5,858.22 = 1,308.76/x
  3. Step 3: Cross multiply
    3,906.42x = 5,858.22 × 1,308.76
  4. Step 4: Simplify right side
    3,906.42x = 7,667,004.01
  5. Step 5: Solve for x
    x = 7,667,004.01/3,906.42
  6. Step 6: Final answer
    x = 1,962.67

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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.