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Finding the Fourth Proportional to 5,840.34, 8,059.68 and 3,744.47

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Solution

The fourth proportional to 5,840.34, 8,059.68 and 3,744.47 is: 5,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.34 : 8,059.68 = 3,744.47 : x
  2. Step 2: Convert to fraction form
    5,840.34/8,059.68 = 3,744.47/x
  3. Step 3: Cross multiply
    5,840.34x = 8,059.68 × 3,744.47
  4. Step 4: Simplify right side
    5,840.34x = 30,179,229.97
  5. Step 5: Solve for x
    x = 30,179,229.97/5,840.34
  6. Step 6: Final answer
    x = 5,167.38

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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.