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Finding the Fourth Proportional to 3,185.67, 4,778.81 and 1,238.03

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Solution

The fourth proportional to 3,185.67, 4,778.81 and 1,238.03 is: 1,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.67 : 4,778.81 = 1,238.03 : x
  2. Step 2: Convert to fraction form
    3,185.67/4,778.81 = 1,238.03/x
  3. Step 3: Cross multiply
    3,185.67x = 4,778.81 × 1,238.03
  4. Step 4: Simplify right side
    3,185.67x = 5,916,280.06
  5. Step 5: Solve for x
    x = 5,916,280.06/3,185.67
  6. Step 6: Final answer
    x = 1,857.15

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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.