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Finding the Fourth Proportional to 3,181.36, 4,769.16 and 2,922.16

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Solution

The fourth proportional to 3,181.36, 4,769.16 and 2,922.16 is: 4,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.36 : 4,769.16 = 2,922.16 : x
  2. Step 2: Convert to fraction form
    3,181.36/4,769.16 = 2,922.16/x
  3. Step 3: Cross multiply
    3,181.36x = 4,769.16 × 2,922.16
  4. Step 4: Simplify right side
    3,181.36x = 13,936,248.59
  5. Step 5: Solve for x
    x = 13,936,248.59/3,181.36
  6. Step 6: Final answer
    x = 4,380.59

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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.