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Finding the Fourth Proportional to 3,694.85, 5,093.53 and 2,809.11

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Solution

The fourth proportional to 3,694.85, 5,093.53 and 2,809.11 is: 3,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.85 : 5,093.53 = 2,809.11 : x
  2. Step 2: Convert to fraction form
    3,694.85/5,093.53 = 2,809.11/x
  3. Step 3: Cross multiply
    3,694.85x = 5,093.53 × 2,809.11
  4. Step 4: Simplify right side
    3,694.85x = 14,308,313.94
  5. Step 5: Solve for x
    x = 14,308,313.94/3,694.85
  6. Step 6: Final answer
    x = 3,872.50

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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.