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Finding the Fourth Proportional to 3,846.30, 5,770.31 and 2,092.88

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Solution

The fourth proportional to 3,846.30, 5,770.31 and 2,092.88 is: 3,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.30 : 5,770.31 = 2,092.88 : x
  2. Step 2: Convert to fraction form
    3,846.30/5,770.31 = 2,092.88/x
  3. Step 3: Cross multiply
    3,846.30x = 5,770.31 × 2,092.88
  4. Step 4: Simplify right side
    3,846.30x = 12,076,570.35
  5. Step 5: Solve for x
    x = 12,076,570.35/3,846.30
  6. Step 6: Final answer
    x = 3,139.79

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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.