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Finding the Fourth Proportional to 4,094.76, 5,650.80 and 2,231.76

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Solution

The fourth proportional to 4,094.76, 5,650.80 and 2,231.76 is: 3,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.76 : 5,650.80 = 2,231.76 : x
  2. Step 2: Convert to fraction form
    4,094.76/5,650.80 = 2,231.76/x
  3. Step 3: Cross multiply
    4,094.76x = 5,650.80 × 2,231.76
  4. Step 4: Simplify right side
    4,094.76x = 12,611,229.41
  5. Step 5: Solve for x
    x = 12,611,229.41/4,094.76
  6. Step 6: Final answer
    x = 3,079.85

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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.