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Finding the Fourth Proportional to 4,542.33, 6,268.47 and 2,749.78

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Solution

The fourth proportional to 4,542.33, 6,268.47 and 2,749.78 is: 3,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.33 : 6,268.47 = 2,749.78 : x
  2. Step 2: Convert to fraction form
    4,542.33/6,268.47 = 2,749.78/x
  3. Step 3: Cross multiply
    4,542.33x = 6,268.47 × 2,749.78
  4. Step 4: Simplify right side
    4,542.33x = 17,236,899.69
  5. Step 5: Solve for x
    x = 17,236,899.69/4,542.33
  6. Step 6: Final answer
    x = 3,794.73

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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.