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Finding the Fourth Proportional to 3,876.80, 5,353.09 and 2,695.82

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Solution

The fourth proportional to 3,876.80, 5,353.09 and 2,695.82 is: 3,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.80 : 5,353.09 = 2,695.82 : x
  2. Step 2: Convert to fraction form
    3,876.80/5,353.09 = 2,695.82/x
  3. Step 3: Cross multiply
    3,876.80x = 5,353.09 × 2,695.82
  4. Step 4: Simplify right side
    3,876.80x = 14,430,933.58
  5. Step 5: Solve for x
    x = 14,430,933.58/3,876.80
  6. Step 6: Final answer
    x = 3,722.39

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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.