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Finding the Fourth Proportional to 3,682.71, 5,076.77 and 2,895.39

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Solution

The fourth proportional to 3,682.71, 5,076.77 and 2,895.39 is: 3,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.71 : 5,076.77 = 2,895.39 : x
  2. Step 2: Convert to fraction form
    3,682.71/5,076.77 = 2,895.39/x
  3. Step 3: Cross multiply
    3,682.71x = 5,076.77 × 2,895.39
  4. Step 4: Simplify right side
    3,682.71x = 14,699,229.09
  5. Step 5: Solve for x
    x = 14,699,229.09/3,682.71
  6. Step 6: Final answer
    x = 3,991.42

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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.