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Finding the Fourth Proportional to 3,456.68, 5,185.82 and 991.44

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Solution

The fourth proportional to 3,456.68, 5,185.82 and 991.44 is: 1,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.68 : 5,185.82 = 991.44 : x
  2. Step 2: Convert to fraction form
    3,456.68/5,185.82 = 991.44/x
  3. Step 3: Cross multiply
    3,456.68x = 5,185.82 × 991.44
  4. Step 4: Simplify right side
    3,456.68x = 5,141,431.86
  5. Step 5: Solve for x
    x = 5,141,431.86/3,456.68
  6. Step 6: Final answer
    x = 1,487.39

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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.