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Finding the Fourth Proportional to 4,906.40, 6,770.86 and 2,668.30

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Solution

The fourth proportional to 4,906.40, 6,770.86 and 2,668.30 is: 3,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.40 : 6,770.86 = 2,668.30 : x
  2. Step 2: Convert to fraction form
    4,906.40/6,770.86 = 2,668.30/x
  3. Step 3: Cross multiply
    4,906.40x = 6,770.86 × 2,668.30
  4. Step 4: Simplify right side
    4,906.40x = 18,066,685.74
  5. Step 5: Solve for x
    x = 18,066,685.74/4,906.40
  6. Step 6: Final answer
    x = 3,682.27

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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.