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Finding the Fourth Proportional to 4,947.08, 7,412.31 and 2,754.54

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Solution

The fourth proportional to 4,947.08, 7,412.31 and 2,754.54 is: 4,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.08 : 7,412.31 = 2,754.54 : x
  2. Step 2: Convert to fraction form
    4,947.08/7,412.31 = 2,754.54/x
  3. Step 3: Cross multiply
    4,947.08x = 7,412.31 × 2,754.54
  4. Step 4: Simplify right side
    4,947.08x = 20,417,504.39
  5. Step 5: Solve for x
    x = 20,417,504.39/4,947.08
  6. Step 6: Final answer
    x = 4,127.19

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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.