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Finding the Fourth Proportional to 5,082.12, 7,013.36 and 2,844

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Solution

The fourth proportional to 5,082.12, 7,013.36 and 2,844 is: 3,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.12 : 7,013.36 = 2,844 : x
  2. Step 2: Convert to fraction form
    5,082.12/7,013.36 = 2,844/x
  3. Step 3: Cross multiply
    5,082.12x = 7,013.36 × 2,844
  4. Step 4: Simplify right side
    5,082.12x = 19,945,995.84
  5. Step 5: Solve for x
    x = 19,945,995.84/5,082.12
  6. Step 6: Final answer
    x = 3,924.74

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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.