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Finding the Fourth Proportional to 3,977.31, 5,493.86 and 3,027.34

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Solution

The fourth proportional to 3,977.31, 5,493.86 and 3,027.34 is: 4,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.31 : 5,493.86 = 3,027.34 : x
  2. Step 2: Convert to fraction form
    3,977.31/5,493.86 = 3,027.34/x
  3. Step 3: Cross multiply
    3,977.31x = 5,493.86 × 3,027.34
  4. Step 4: Simplify right side
    3,977.31x = 16,631,782.13
  5. Step 5: Solve for x
    x = 16,631,782.13/3,977.31
  6. Step 6: Final answer
    x = 4,181.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.