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Finding the Fourth Proportional to 3,438.73, 4,745.85 and 2,878.21

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Solution

The fourth proportional to 3,438.73, 4,745.85 and 2,878.21 is: 3,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.73 : 4,745.85 = 2,878.21 : x
  2. Step 2: Convert to fraction form
    3,438.73/4,745.85 = 2,878.21/x
  3. Step 3: Cross multiply
    3,438.73x = 4,745.85 × 2,878.21
  4. Step 4: Simplify right side
    3,438.73x = 13,659,552.93
  5. Step 5: Solve for x
    x = 13,659,552.93/3,438.73
  6. Step 6: Final answer
    x = 3,972.27

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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.