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Finding the Fourth Proportional to 3,427.26, 4,728.09 and 2,719.38

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Solution

The fourth proportional to 3,427.26, 4,728.09 and 2,719.38 is: 3,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.26 : 4,728.09 = 2,719.38 : x
  2. Step 2: Convert to fraction form
    3,427.26/4,728.09 = 2,719.38/x
  3. Step 3: Cross multiply
    3,427.26x = 4,728.09 × 2,719.38
  4. Step 4: Simplify right side
    3,427.26x = 12,857,473.38
  5. Step 5: Solve for x
    x = 12,857,473.38/3,427.26
  6. Step 6: Final answer
    x = 3,751.53

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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.