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Finding the Fourth Proportional to 3,486.22, 4,809.82 and 1,993.08

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Solution

The fourth proportional to 3,486.22, 4,809.82 and 1,993.08 is: 2,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.22 : 4,809.82 = 1,993.08 : x
  2. Step 2: Convert to fraction form
    3,486.22/4,809.82 = 1,993.08/x
  3. Step 3: Cross multiply
    3,486.22x = 4,809.82 × 1,993.08
  4. Step 4: Simplify right side
    3,486.22x = 9,586,356.05
  5. Step 5: Solve for x
    x = 9,586,356.05/3,486.22
  6. Step 6: Final answer
    x = 2,749.79

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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.