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Finding the Fourth Proportional to 6,261.29, 8,638.63 and 3,608.34

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Solution

The fourth proportional to 6,261.29, 8,638.63 and 3,608.34 is: 4,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.29 : 8,638.63 = 3,608.34 : x
  2. Step 2: Convert to fraction form
    6,261.29/8,638.63 = 3,608.34/x
  3. Step 3: Cross multiply
    6,261.29x = 8,638.63 × 3,608.34
  4. Step 4: Simplify right side
    6,261.29x = 31,171,105.15
  5. Step 5: Solve for x
    x = 31,171,105.15/6,261.29
  6. Step 6: Final answer
    x = 4,978.38

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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.