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Finding the Fourth Proportional to 5,072.09, 6,999.44 and 3,082.28

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Solution

The fourth proportional to 5,072.09, 6,999.44 and 3,082.28 is: 4,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.09 : 6,999.44 = 3,082.28 : x
  2. Step 2: Convert to fraction form
    5,072.09/6,999.44 = 3,082.28/x
  3. Step 3: Cross multiply
    5,072.09x = 6,999.44 × 3,082.28
  4. Step 4: Simplify right side
    5,072.09x = 21,574,183.51
  5. Step 5: Solve for x
    x = 21,574,183.51/5,072.09
  6. Step 6: Final answer
    x = 4,253.51

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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.