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Finding the Fourth Proportional to 5,456.94, 8,187.84 and 1,993.38

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Solution

The fourth proportional to 5,456.94, 8,187.84 and 1,993.38 is: 2,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.94 : 8,187.84 = 1,993.38 : x
  2. Step 2: Convert to fraction form
    5,456.94/8,187.84 = 1,993.38/x
  3. Step 3: Cross multiply
    5,456.94x = 8,187.84 × 1,993.38
  4. Step 4: Simplify right side
    5,456.94x = 16,321,476.50
  5. Step 5: Solve for x
    x = 16,321,476.50/5,456.94
  6. Step 6: Final answer
    x = 2,990.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.