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Finding the Fourth Proportional to 3,850.07, 5,313.14 and 2,081.71

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Solution

The fourth proportional to 3,850.07, 5,313.14 and 2,081.71 is: 2,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.07 : 5,313.14 = 2,081.71 : x
  2. Step 2: Convert to fraction form
    3,850.07/5,313.14 = 2,081.71/x
  3. Step 3: Cross multiply
    3,850.07x = 5,313.14 × 2,081.71
  4. Step 4: Simplify right side
    3,850.07x = 11,060,416.67
  5. Step 5: Solve for x
    x = 11,060,416.67/3,850.07
  6. Step 6: Final answer
    x = 2,872.78

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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.