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Finding the Fourth Proportional to 3,456.75, 4,770.32 and 1,884.85

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Solution

The fourth proportional to 3,456.75, 4,770.32 and 1,884.85 is: 2,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.75 : 4,770.32 = 1,884.85 : x
  2. Step 2: Convert to fraction form
    3,456.75/4,770.32 = 1,884.85/x
  3. Step 3: Cross multiply
    3,456.75x = 4,770.32 × 1,884.85
  4. Step 4: Simplify right side
    3,456.75x = 8,991,316.30
  5. Step 5: Solve for x
    x = 8,991,316.30/3,456.75
  6. Step 6: Final answer
    x = 2,601.09

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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.