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Finding the Fourth Proportional to 6,574.11, 9,072.13 and 3,589.97

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Solution

The fourth proportional to 6,574.11, 9,072.13 and 3,589.97 is: 4,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.11 : 9,072.13 = 3,589.97 : x
  2. Step 2: Convert to fraction form
    6,574.11/9,072.13 = 3,589.97/x
  3. Step 3: Cross multiply
    6,574.11x = 9,072.13 × 3,589.97
  4. Step 4: Simplify right side
    6,574.11x = 32,568,674.54
  5. Step 5: Solve for x
    x = 32,568,674.54/6,574.11
  6. Step 6: Final answer
    x = 4,954.08

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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.