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Finding the Fourth Proportional to 5,034.42, 6,947.26 and 2,796.44

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Solution

The fourth proportional to 5,034.42, 6,947.26 and 2,796.44 is: 3,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.42 : 6,947.26 = 2,796.44 : x
  2. Step 2: Convert to fraction form
    5,034.42/6,947.26 = 2,796.44/x
  3. Step 3: Cross multiply
    5,034.42x = 6,947.26 × 2,796.44
  4. Step 4: Simplify right side
    5,034.42x = 19,427,595.75
  5. Step 5: Solve for x
    x = 19,427,595.75/5,034.42
  6. Step 6: Final answer
    x = 3,858.95

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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.