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Finding the Fourth Proportional to 2,961.96, 4,084.62 and 2,747.22

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Solution

The fourth proportional to 2,961.96, 4,084.62 and 2,747.22 is: 3,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.96 : 4,084.62 = 2,747.22 : x
  2. Step 2: Convert to fraction form
    2,961.96/4,084.62 = 2,747.22/x
  3. Step 3: Cross multiply
    2,961.96x = 4,084.62 × 2,747.22
  4. Step 4: Simplify right side
    2,961.96x = 11,221,349.76
  5. Step 5: Solve for x
    x = 11,221,349.76/2,961.96
  6. Step 6: Final answer
    x = 3,788.49

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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.