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Finding the Fourth Proportional to 4,383.82, 6,571.82 and 1,609.86

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Solution

The fourth proportional to 4,383.82, 6,571.82 and 1,609.86 is: 2,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.82 : 6,571.82 = 1,609.86 : x
  2. Step 2: Convert to fraction form
    4,383.82/6,571.82 = 1,609.86/x
  3. Step 3: Cross multiply
    4,383.82x = 6,571.82 × 1,609.86
  4. Step 4: Simplify right side
    4,383.82x = 10,579,710.15
  5. Step 5: Solve for x
    x = 10,579,710.15/4,383.82
  6. Step 6: Final answer
    x = 2,413.35

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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.