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Finding the Fourth Proportional to 3,809.68, 5,716.69 and 2,054.67

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Solution

The fourth proportional to 3,809.68, 5,716.69 and 2,054.67 is: 3,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.68 : 5,716.69 = 2,054.67 : x
  2. Step 2: Convert to fraction form
    3,809.68/5,716.69 = 2,054.67/x
  3. Step 3: Cross multiply
    3,809.68x = 5,716.69 × 2,054.67
  4. Step 4: Simplify right side
    3,809.68x = 11,745,911.44
  5. Step 5: Solve for x
    x = 11,745,911.44/3,809.68
  6. Step 6: Final answer
    x = 3,083.18

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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.