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Finding the Fourth Proportional to 5,322.27, 7,975.11 and 2,033.57

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Solution

The fourth proportional to 5,322.27, 7,975.11 and 2,033.57 is: 3,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.27 : 7,975.11 = 2,033.57 : x
  2. Step 2: Convert to fraction form
    5,322.27/7,975.11 = 2,033.57/x
  3. Step 3: Cross multiply
    5,322.27x = 7,975.11 × 2,033.57
  4. Step 4: Simplify right side
    5,322.27x = 16,217,964.38
  5. Step 5: Solve for x
    x = 16,217,964.38/5,322.27
  6. Step 6: Final answer
    x = 3,047.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.