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Finding the Fourth Proportional to 3,759.21, 5,175.81 and 3,310.77

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Solution

The fourth proportional to 3,759.21, 5,175.81 and 3,310.77 is: 4,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.21 : 5,175.81 = 3,310.77 : x
  2. Step 2: Convert to fraction form
    3,759.21/5,175.81 = 3,310.77/x
  3. Step 3: Cross multiply
    3,759.21x = 5,175.81 × 3,310.77
  4. Step 4: Simplify right side
    3,759.21x = 17,135,916.47
  5. Step 5: Solve for x
    x = 17,135,916.47/3,759.21
  6. Step 6: Final answer
    x = 4,558.39

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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.