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Finding the Fourth Proportional to 3,380.17, 5,072.43 and 1,647.85

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Solution

The fourth proportional to 3,380.17, 5,072.43 and 1,647.85 is: 2,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.17 : 5,072.43 = 1,647.85 : x
  2. Step 2: Convert to fraction form
    3,380.17/5,072.43 = 1,647.85/x
  3. Step 3: Cross multiply
    3,380.17x = 5,072.43 × 1,647.85
  4. Step 4: Simplify right side
    3,380.17x = 8,358,603.78
  5. Step 5: Solve for x
    x = 8,358,603.78/3,380.17
  6. Step 6: Final answer
    x = 2,472.84

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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.