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Finding the Fourth Proportional to 5,204.56, 7,181.67 and 2,966.44

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Solution

The fourth proportional to 5,204.56, 7,181.67 and 2,966.44 is: 4,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.56 : 7,181.67 = 2,966.44 : x
  2. Step 2: Convert to fraction form
    5,204.56/7,181.67 = 2,966.44/x
  3. Step 3: Cross multiply
    5,204.56x = 7,181.67 × 2,966.44
  4. Step 4: Simplify right side
    5,204.56x = 21,303,993.15
  5. Step 5: Solve for x
    x = 21,303,993.15/5,204.56
  6. Step 6: Final answer
    x = 4,093.33

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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.