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Finding the Fourth Proportional to 3,327, 4,992.68 and 1,275

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Solution

The fourth proportional to 3,327, 4,992.68 and 1,275 is: 1,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327 : 4,992.68 = 1,275 : x
  2. Step 2: Convert to fraction form
    3,327/4,992.68 = 1,275/x
  3. Step 3: Cross multiply
    3,327x = 4,992.68 × 1,275
  4. Step 4: Simplify right side
    3,327x = 6,365,667
  5. Step 5: Solve for x
    x = 6,365,667/3,327
  6. Step 6: Final answer
    x = 1,913.34

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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.