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Finding the Fourth Proportional to 5,994.12, 8,267.22 and 4,106.82

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Solution

The fourth proportional to 5,994.12, 8,267.22 and 4,106.82 is: 5,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.12 : 8,267.22 = 4,106.82 : x
  2. Step 2: Convert to fraction form
    5,994.12/8,267.22 = 4,106.82/x
  3. Step 3: Cross multiply
    5,994.12x = 8,267.22 × 4,106.82
  4. Step 4: Simplify right side
    5,994.12x = 33,951,984.44
  5. Step 5: Solve for x
    x = 33,951,984.44/5,994.12
  6. Step 6: Final answer
    x = 5,664.22

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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.