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Finding the Fourth Proportional to 5,630.22, 7,768.82 and 3,271.94

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Solution

The fourth proportional to 5,630.22, 7,768.82 and 3,271.94 is: 4,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.22 : 7,768.82 = 3,271.94 : x
  2. Step 2: Convert to fraction form
    5,630.22/7,768.82 = 3,271.94/x
  3. Step 3: Cross multiply
    5,630.22x = 7,768.82 × 3,271.94
  4. Step 4: Simplify right side
    5,630.22x = 25,419,112.91
  5. Step 5: Solve for x
    x = 25,419,112.91/5,630.22
  6. Step 6: Final answer
    x = 4,514.76

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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.