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Finding the Fourth Proportional to 3,408.99, 5,111.88 and 2,022.51

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Solution

The fourth proportional to 3,408.99, 5,111.88 and 2,022.51 is: 3,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.99 : 5,111.88 = 2,022.51 : x
  2. Step 2: Convert to fraction form
    3,408.99/5,111.88 = 2,022.51/x
  3. Step 3: Cross multiply
    3,408.99x = 5,111.88 × 2,022.51
  4. Step 4: Simplify right side
    3,408.99x = 10,338,828.42
  5. Step 5: Solve for x
    x = 10,338,828.42/3,408.99
  6. Step 6: Final answer
    x = 3,032.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.