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Finding the Fourth Proportional to 3,186.09, 4,778.66 and 846.23

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Solution

The fourth proportional to 3,186.09, 4,778.66 and 846.23 is: 1,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.09 : 4,778.66 = 846.23 : x
  2. Step 2: Convert to fraction form
    3,186.09/4,778.66 = 846.23/x
  3. Step 3: Cross multiply
    3,186.09x = 4,778.66 × 846.23
  4. Step 4: Simplify right side
    3,186.09x = 4,043,817.33
  5. Step 5: Solve for x
    x = 4,043,817.33/3,186.09
  6. Step 6: Final answer
    x = 1,269.21

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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.