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Finding the Fourth Proportional to 3,456.69, 5,181.80 and 1,723.41

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Solution

The fourth proportional to 3,456.69, 5,181.80 and 1,723.41 is: 2,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.69 : 5,181.80 = 1,723.41 : x
  2. Step 2: Convert to fraction form
    3,456.69/5,181.80 = 1,723.41/x
  3. Step 3: Cross multiply
    3,456.69x = 5,181.80 × 1,723.41
  4. Step 4: Simplify right side
    3,456.69x = 8,930,357.32
  5. Step 5: Solve for x
    x = 8,930,357.32/3,456.69
  6. Step 6: Final answer
    x = 2,583.50

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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.