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Finding the Fourth Proportional to 3,438.78, 4,745.22 and 2,022.53

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Solution

The fourth proportional to 3,438.78, 4,745.22 and 2,022.53 is: 2,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.78 : 4,745.22 = 2,022.53 : x
  2. Step 2: Convert to fraction form
    3,438.78/4,745.22 = 2,022.53/x
  3. Step 3: Cross multiply
    3,438.78x = 4,745.22 × 2,022.53
  4. Step 4: Simplify right side
    3,438.78x = 9,597,326.08
  5. Step 5: Solve for x
    x = 9,597,326.08/3,438.78
  6. Step 6: Final answer
    x = 2,790.91

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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.