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Finding the Fourth Proportional to 5,942.49, 8,186.34 and 4,998.30

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Solution

The fourth proportional to 5,942.49, 8,186.34 and 4,998.30 is: 6,885.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.49 : 8,186.34 = 4,998.30 : x
  2. Step 2: Convert to fraction form
    5,942.49/8,186.34 = 4,998.30/x
  3. Step 3: Cross multiply
    5,942.49x = 8,186.34 × 4,998.30
  4. Step 4: Simplify right side
    5,942.49x = 40,917,783.22
  5. Step 5: Solve for x
    x = 40,917,783.22/5,942.49
  6. Step 6: Final answer
    x = 6,885.63

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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.