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Finding the Fourth Proportional to 3,412.86, 5,114.82 and 3,327

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Solution

The fourth proportional to 3,412.86, 5,114.82 and 3,327 is: 4,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.86 : 5,114.82 = 3,327 : x
  2. Step 2: Convert to fraction form
    3,412.86/5,114.82 = 3,327/x
  3. Step 3: Cross multiply
    3,412.86x = 5,114.82 × 3,327
  4. Step 4: Simplify right side
    3,412.86x = 17,017,006.14
  5. Step 5: Solve for x
    x = 17,017,006.14/3,412.86
  6. Step 6: Final answer
    x = 4,986.14

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