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Finding the Fourth Proportional to 5,034.24, 6,947.01 and 2,796.03

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Solution

The fourth proportional to 5,034.24, 6,947.01 and 2,796.03 is: 3,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.24 : 6,947.01 = 2,796.03 : x
  2. Step 2: Convert to fraction form
    5,034.24/6,947.01 = 2,796.03/x
  3. Step 3: Cross multiply
    5,034.24x = 6,947.01 × 2,796.03
  4. Step 4: Simplify right side
    5,034.24x = 19,424,048.37
  5. Step 5: Solve for x
    x = 19,424,048.37/5,034.24
  6. Step 6: Final answer
    x = 3,858.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.