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Finding the Fourth Proportional to 3,977.15, 5,493.63 and 3,027.17

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Solution

The fourth proportional to 3,977.15, 5,493.63 and 3,027.17 is: 4,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.15 : 5,493.63 = 3,027.17 : x
  2. Step 2: Convert to fraction form
    3,977.15/5,493.63 = 3,027.17/x
  3. Step 3: Cross multiply
    3,977.15x = 5,493.63 × 3,027.17
  4. Step 4: Simplify right side
    3,977.15x = 16,630,109.32
  5. Step 5: Solve for x
    x = 16,630,109.32/3,977.15
  6. Step 6: Final answer
    x = 4,181.42

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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.