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Finding the Fourth Proportional to 5,005.14, 6,906.82 and 2,766.88

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Solution

The fourth proportional to 5,005.14, 6,906.82 and 2,766.88 is: 3,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.14 : 6,906.82 = 2,766.88 : x
  2. Step 2: Convert to fraction form
    5,005.14/6,906.82 = 2,766.88/x
  3. Step 3: Cross multiply
    5,005.14x = 6,906.82 × 2,766.88
  4. Step 4: Simplify right side
    5,005.14x = 19,110,317.94
  5. Step 5: Solve for x
    x = 19,110,317.94/5,005.14
  6. Step 6: Final answer
    x = 3,818.14

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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.