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Finding the Fourth Proportional to 3,642.57, 5,028.48 and 2,469.83

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Solution

The fourth proportional to 3,642.57, 5,028.48 and 2,469.83 is: 3,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.57 : 5,028.48 = 2,469.83 : x
  2. Step 2: Convert to fraction form
    3,642.57/5,028.48 = 2,469.83/x
  3. Step 3: Cross multiply
    3,642.57x = 5,028.48 × 2,469.83
  4. Step 4: Simplify right side
    3,642.57x = 12,419,465.62
  5. Step 5: Solve for x
    x = 12,419,465.62/3,642.57
  6. Step 6: Final answer
    x = 3,409.53

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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.