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Finding the Fourth Proportional to 3,769.34, 5,205.67 and 3,357.05

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Solution

The fourth proportional to 3,769.34, 5,205.67 and 3,357.05 is: 4,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.34 : 5,205.67 = 3,357.05 : x
  2. Step 2: Convert to fraction form
    3,769.34/5,205.67 = 3,357.05/x
  3. Step 3: Cross multiply
    3,769.34x = 5,205.67 × 3,357.05
  4. Step 4: Simplify right side
    3,769.34x = 17,475,660.05
  5. Step 5: Solve for x
    x = 17,475,660.05/3,769.34
  6. Step 6: Final answer
    x = 4,636.27

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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.