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Finding the Fourth Proportional to 3,939.93, 5,434.80 and 2,542.68

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Solution

The fourth proportional to 3,939.93, 5,434.80 and 2,542.68 is: 3,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.93 : 5,434.80 = 2,542.68 : x
  2. Step 2: Convert to fraction form
    3,939.93/5,434.80 = 2,542.68/x
  3. Step 3: Cross multiply
    3,939.93x = 5,434.80 × 2,542.68
  4. Step 4: Simplify right side
    3,939.93x = 13,818,957.26
  5. Step 5: Solve for x
    x = 13,818,957.26/3,939.93
  6. Step 6: Final answer
    x = 3,507.41

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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.