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Finding the Fourth Proportional to 5,082.34, 7,013.37 and 2,844.22

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Solution

The fourth proportional to 5,082.34, 7,013.37 and 2,844.22 is: 3,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.34 : 7,013.37 = 2,844.22 : x
  2. Step 2: Convert to fraction form
    5,082.34/7,013.37 = 2,844.22/x
  3. Step 3: Cross multiply
    5,082.34x = 7,013.37 × 2,844.22
  4. Step 4: Simplify right side
    5,082.34x = 19,947,560.35
  5. Step 5: Solve for x
    x = 19,947,560.35/5,082.34
  6. Step 6: Final answer
    x = 3,924.88

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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.