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Finding the Fourth Proportional to 4,947.44, 7,425.48 and 2,758.32

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Solution

The fourth proportional to 4,947.44, 7,425.48 and 2,758.32 is: 4,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.44 : 7,425.48 = 2,758.32 : x
  2. Step 2: Convert to fraction form
    4,947.44/7,425.48 = 2,758.32/x
  3. Step 3: Cross multiply
    4,947.44x = 7,425.48 × 2,758.32
  4. Step 4: Simplify right side
    4,947.44x = 20,481,849.99
  5. Step 5: Solve for x
    x = 20,481,849.99/4,947.44
  6. Step 6: Final answer
    x = 4,139.89

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Why These Related Problems?

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