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Finding the Fourth Proportional to 3,057.67, 4,217.95 and 1,936.63

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Solution

The fourth proportional to 3,057.67, 4,217.95 and 1,936.63 is: 2,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.67 : 4,217.95 = 1,936.63 : x
  2. Step 2: Convert to fraction form
    3,057.67/4,217.95 = 1,936.63/x
  3. Step 3: Cross multiply
    3,057.67x = 4,217.95 × 1,936.63
  4. Step 4: Simplify right side
    3,057.67x = 8,168,608.51
  5. Step 5: Solve for x
    x = 8,168,608.51/3,057.67
  6. Step 6: Final answer
    x = 2,671.51

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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.