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Finding the Fourth Proportional to 3,092.67, 4,637.86 and 2,167.75

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Solution

The fourth proportional to 3,092.67, 4,637.86 and 2,167.75 is: 3,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.67 : 4,637.86 = 2,167.75 : x
  2. Step 2: Convert to fraction form
    3,092.67/4,637.86 = 2,167.75/x
  3. Step 3: Cross multiply
    3,092.67x = 4,637.86 × 2,167.75
  4. Step 4: Simplify right side
    3,092.67x = 10,053,721.02
  5. Step 5: Solve for x
    x = 10,053,721.02/3,092.67
  6. Step 6: Final answer
    x = 3,250.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.