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Finding the Fourth Proportional to 3,699.78, 5,105.46 and 2,021.10

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Solution

The fourth proportional to 3,699.78, 5,105.46 and 2,021.10 is: 2,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.78 : 5,105.46 = 2,021.10 : x
  2. Step 2: Convert to fraction form
    3,699.78/5,105.46 = 2,021.10/x
  3. Step 3: Cross multiply
    3,699.78x = 5,105.46 × 2,021.10
  4. Step 4: Simplify right side
    3,699.78x = 10,318,645.21
  5. Step 5: Solve for x
    x = 10,318,645.21/3,699.78
  6. Step 6: Final answer
    x = 2,788.99

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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.