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Finding the Fourth Proportional to 3,843.22, 5,293.29 and 3,318.34

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Solution

The fourth proportional to 3,843.22, 5,293.29 and 3,318.34 is: 4,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.22 : 5,293.29 = 3,318.34 : x
  2. Step 2: Convert to fraction form
    3,843.22/5,293.29 = 3,318.34/x
  3. Step 3: Cross multiply
    3,843.22x = 5,293.29 × 3,318.34
  4. Step 4: Simplify right side
    3,843.22x = 17,564,935.94
  5. Step 5: Solve for x
    x = 17,564,935.94/3,843.22
  6. Step 6: Final answer
    x = 4,570.37

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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.