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Finding the Fourth Proportional to 3,676.75, 5,074.24 and 2,021.07

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Solution

The fourth proportional to 3,676.75, 5,074.24 and 2,021.07 is: 2,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.75 : 5,074.24 = 2,021.07 : x
  2. Step 2: Convert to fraction form
    3,676.75/5,074.24 = 2,021.07/x
  3. Step 3: Cross multiply
    3,676.75x = 5,074.24 × 2,021.07
  4. Step 4: Simplify right side
    3,676.75x = 10,255,384.13
  5. Step 5: Solve for x
    x = 10,255,384.13/3,676.75
  6. Step 6: Final answer
    x = 2,789.25

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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.