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Finding the Fourth Proportional to 4,542.40, 6,796.41 and 3,074.23

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Solution

The fourth proportional to 4,542.40, 6,796.41 and 3,074.23 is: 4,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.40 : 6,796.41 = 3,074.23 : x
  2. Step 2: Convert to fraction form
    4,542.40/6,796.41 = 3,074.23/x
  3. Step 3: Cross multiply
    4,542.40x = 6,796.41 × 3,074.23
  4. Step 4: Simplify right side
    4,542.40x = 20,893,727.51
  5. Step 5: Solve for x
    x = 20,893,727.51/4,542.40
  6. Step 6: Final answer
    x = 4,599.71

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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.