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Finding the Fourth Proportional to 4,072.92, 6,111.15 and 1,994.73

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Solution

The fourth proportional to 4,072.92, 6,111.15 and 1,994.73 is: 2,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.92 : 6,111.15 = 1,994.73 : x
  2. Step 2: Convert to fraction form
    4,072.92/6,111.15 = 1,994.73/x
  3. Step 3: Cross multiply
    4,072.92x = 6,111.15 × 1,994.73
  4. Step 4: Simplify right side
    4,072.92x = 12,190,094.24
  5. Step 5: Solve for x
    x = 12,190,094.24/4,072.92
  6. Step 6: Final answer
    x = 2,992.96

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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.