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Finding the Fourth Proportional to 4,330.26, 5,971.73 and 3,805.38

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Solution

The fourth proportional to 4,330.26, 5,971.73 and 3,805.38 is: 5,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.26 : 5,971.73 = 3,805.38 : x
  2. Step 2: Convert to fraction form
    4,330.26/5,971.73 = 3,805.38/x
  3. Step 3: Cross multiply
    4,330.26x = 5,971.73 × 3,805.38
  4. Step 4: Simplify right side
    4,330.26x = 22,724,682.88
  5. Step 5: Solve for x
    x = 22,724,682.88/4,330.26
  6. Step 6: Final answer
    x = 5,247.88

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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.