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Finding the Fourth Proportional to 3,890.77, 5,371.25 and 2,638.44

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Solution

The fourth proportional to 3,890.77, 5,371.25 and 2,638.44 is: 3,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.77 : 5,371.25 = 2,638.44 : x
  2. Step 2: Convert to fraction form
    3,890.77/5,371.25 = 2,638.44/x
  3. Step 3: Cross multiply
    3,890.77x = 5,371.25 × 2,638.44
  4. Step 4: Simplify right side
    3,890.77x = 14,171,707.66
  5. Step 5: Solve for x
    x = 14,171,707.66/3,890.77
  6. Step 6: Final answer
    x = 3,642.39

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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.