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Finding the Fourth Proportional to 3,776.12, 5,211.24 and 2,843

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Solution

The fourth proportional to 3,776.12, 5,211.24 and 2,843 is: 3,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.12 : 5,211.24 = 2,843 : x
  2. Step 2: Convert to fraction form
    3,776.12/5,211.24 = 2,843/x
  3. Step 3: Cross multiply
    3,776.12x = 5,211.24 × 2,843
  4. Step 4: Simplify right side
    3,776.12x = 14,815,555.32
  5. Step 5: Solve for x
    x = 14,815,555.32/3,776.12
  6. Step 6: Final answer
    x = 3,923.49

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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.