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Finding the Fourth Proportional to 3,584.81, 4,951.23 and 3,269.53

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Solution

The fourth proportional to 3,584.81, 4,951.23 and 3,269.53 is: 4,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.81 : 4,951.23 = 3,269.53 : x
  2. Step 2: Convert to fraction form
    3,584.81/4,951.23 = 3,269.53/x
  3. Step 3: Cross multiply
    3,584.81x = 4,951.23 × 3,269.53
  4. Step 4: Simplify right side
    3,584.81x = 16,188,170.27
  5. Step 5: Solve for x
    x = 16,188,170.27/3,584.81
  6. Step 6: Final answer
    x = 4,515.77

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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.