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Finding the Fourth Proportional to 5,069.78, 6,996.42 and 3,181.44

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Solution

The fourth proportional to 5,069.78, 6,996.42 and 3,181.44 is: 4,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.78 : 6,996.42 = 3,181.44 : x
  2. Step 2: Convert to fraction form
    5,069.78/6,996.42 = 3,181.44/x
  3. Step 3: Cross multiply
    5,069.78x = 6,996.42 × 3,181.44
  4. Step 4: Simplify right side
    5,069.78x = 22,258,690.44
  5. Step 5: Solve for x
    x = 22,258,690.44/5,069.78
  6. Step 6: Final answer
    x = 4,390.46

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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.