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Finding the Fourth Proportional to 4,947.24, 7,406.49 and 3,464.63

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Solution

The fourth proportional to 4,947.24, 7,406.49 and 3,464.63 is: 5,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.24 : 7,406.49 = 3,464.63 : x
  2. Step 2: Convert to fraction form
    4,947.24/7,406.49 = 3,464.63/x
  3. Step 3: Cross multiply
    4,947.24x = 7,406.49 × 3,464.63
  4. Step 4: Simplify right side
    4,947.24x = 25,660,747.45
  5. Step 5: Solve for x
    x = 25,660,747.45/4,947.24
  6. Step 6: Final answer
    x = 5,186.88

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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.