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Finding the Fourth Proportional to 4,717.92, 7,074.12 and 2,766

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Solution

The fourth proportional to 4,717.92, 7,074.12 and 2,766 is: 4,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.92 : 7,074.12 = 2,766 : x
  2. Step 2: Convert to fraction form
    4,717.92/7,074.12 = 2,766/x
  3. Step 3: Cross multiply
    4,717.92x = 7,074.12 × 2,766
  4. Step 4: Simplify right side
    4,717.92x = 19,567,015.92
  5. Step 5: Solve for x
    x = 19,567,015.92/4,717.92
  6. Step 6: Final answer
    x = 4,147.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.