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Finding the Fourth Proportional to 3,317.86, 4,584.80 and 3,209.73

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Solution

The fourth proportional to 3,317.86, 4,584.80 and 3,209.73 is: 4,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.86 : 4,584.80 = 3,209.73 : x
  2. Step 2: Convert to fraction form
    3,317.86/4,584.80 = 3,209.73/x
  3. Step 3: Cross multiply
    3,317.86x = 4,584.80 × 3,209.73
  4. Step 4: Simplify right side
    3,317.86x = 14,715,960.94
  5. Step 5: Solve for x
    x = 14,715,960.94/3,317.86
  6. Step 6: Final answer
    x = 4,435.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.