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Finding the Fourth Proportional to 6,348.35, 8,761.26 and 3,696

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Solution

The fourth proportional to 6,348.35, 8,761.26 and 3,696 is: 5,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.35 : 8,761.26 = 3,696 : x
  2. Step 2: Convert to fraction form
    6,348.35/8,761.26 = 3,696/x
  3. Step 3: Cross multiply
    6,348.35x = 8,761.26 × 3,696
  4. Step 4: Simplify right side
    6,348.35x = 32,381,616.96
  5. Step 5: Solve for x
    x = 32,381,616.96/6,348.35
  6. Step 6: Final answer
    x = 5,100.80

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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.