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Finding the Fourth Proportional to 4,181.77, 5,770.80 and 2,293.44

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Solution

The fourth proportional to 4,181.77, 5,770.80 and 2,293.44 is: 3,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.77 : 5,770.80 = 2,293.44 : x
  2. Step 2: Convert to fraction form
    4,181.77/5,770.80 = 2,293.44/x
  3. Step 3: Cross multiply
    4,181.77x = 5,770.80 × 2,293.44
  4. Step 4: Simplify right side
    4,181.77x = 13,234,954.70
  5. Step 5: Solve for x
    x = 13,234,954.70/4,181.77
  6. Step 6: Final answer
    x = 3,164.92

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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.