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Finding the Fourth Proportional to 3,943.38, 5,430.79 and 3,857.27

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Solution

The fourth proportional to 3,943.38, 5,430.79 and 3,857.27 is: 5,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.38 : 5,430.79 = 3,857.27 : x
  2. Step 2: Convert to fraction form
    3,943.38/5,430.79 = 3,857.27/x
  3. Step 3: Cross multiply
    3,943.38x = 5,430.79 × 3,857.27
  4. Step 4: Simplify right side
    3,943.38x = 20,948,003.07
  5. Step 5: Solve for x
    x = 20,948,003.07/3,943.38
  6. Step 6: Final answer
    x = 5,312.20

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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.