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Finding the Fourth Proportional to 3,699.98, 5,106.09 and 2,021.54

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Solution

The fourth proportional to 3,699.98, 5,106.09 and 2,021.54 is: 2,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.98 : 5,106.09 = 2,021.54 : x
  2. Step 2: Convert to fraction form
    3,699.98/5,106.09 = 2,021.54/x
  3. Step 3: Cross multiply
    3,699.98x = 5,106.09 × 2,021.54
  4. Step 4: Simplify right side
    3,699.98x = 10,322,165.18
  5. Step 5: Solve for x
    x = 10,322,165.18/3,699.98
  6. Step 6: Final answer
    x = 2,789.79

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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.