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Finding the Fourth Proportional to 4,542.14, 6,826.80 and 3,767.24

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Solution

The fourth proportional to 4,542.14, 6,826.80 and 3,767.24 is: 5,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.14 : 6,826.80 = 3,767.24 : x
  2. Step 2: Convert to fraction form
    4,542.14/6,826.80 = 3,767.24/x
  3. Step 3: Cross multiply
    4,542.14x = 6,826.80 × 3,767.24
  4. Step 4: Simplify right side
    4,542.14x = 25,718,194.03
  5. Step 5: Solve for x
    x = 25,718,194.03/4,542.14
  6. Step 6: Final answer
    x = 5,662.13

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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.