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Finding the Fourth Proportional to 4,182.36, 5,770 and 2,766.81

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Solution

The fourth proportional to 4,182.36, 5,770 and 2,766.81 is: 3,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.36 : 5,770 = 2,766.81 : x
  2. Step 2: Convert to fraction form
    4,182.36/5,770 = 2,766.81/x
  3. Step 3: Cross multiply
    4,182.36x = 5,770 × 2,766.81
  4. Step 4: Simplify right side
    4,182.36x = 15,964,493.70
  5. Step 5: Solve for x
    x = 15,964,493.70/4,182.36
  6. Step 6: Final answer
    x = 3,817.10

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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.