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Finding the Fourth Proportional to 4,107.29, 6,160.84 and 1,185.84

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Solution

The fourth proportional to 4,107.29, 6,160.84 and 1,185.84 is: 1,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.29 : 6,160.84 = 1,185.84 : x
  2. Step 2: Convert to fraction form
    4,107.29/6,160.84 = 1,185.84/x
  3. Step 3: Cross multiply
    4,107.29x = 6,160.84 × 1,185.84
  4. Step 4: Simplify right side
    4,107.29x = 7,305,767.54
  5. Step 5: Solve for x
    x = 7,305,767.54/4,107.29
  6. Step 6: Final answer
    x = 1,778.73

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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.