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Finding the Fourth Proportional to 7,049.44, 9,725.81 and 4,022.38

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Solution

The fourth proportional to 7,049.44, 9,725.81 and 4,022.38 is: 5,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.44 : 9,725.81 = 4,022.38 : x
  2. Step 2: Convert to fraction form
    7,049.44/9,725.81 = 4,022.38/x
  3. Step 3: Cross multiply
    7,049.44x = 9,725.81 × 4,022.38
  4. Step 4: Simplify right side
    7,049.44x = 39,120,903.63
  5. Step 5: Solve for x
    x = 39,120,903.63/7,049.44
  6. Step 6: Final answer
    x = 5,549.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.