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Finding the Fourth Proportional to 3,947.88, 5,907.42 and 3,251.56

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Solution

The fourth proportional to 3,947.88, 5,907.42 and 3,251.56 is: 4,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.88 : 5,907.42 = 3,251.56 : x
  2. Step 2: Convert to fraction form
    3,947.88/5,907.42 = 3,251.56/x
  3. Step 3: Cross multiply
    3,947.88x = 5,907.42 × 3,251.56
  4. Step 4: Simplify right side
    3,947.88x = 19,208,330.58
  5. Step 5: Solve for x
    x = 19,208,330.58/3,947.88
  6. Step 6: Final answer
    x = 4,865.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.