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Finding the Fourth Proportional to 3,005.75, 4,149.16 and 2,584.41

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Solution

The fourth proportional to 3,005.75, 4,149.16 and 2,584.41 is: 3,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.75 : 4,149.16 = 2,584.41 : x
  2. Step 2: Convert to fraction form
    3,005.75/4,149.16 = 2,584.41/x
  3. Step 3: Cross multiply
    3,005.75x = 4,149.16 × 2,584.41
  4. Step 4: Simplify right side
    3,005.75x = 10,723,096.93
  5. Step 5: Solve for x
    x = 10,723,096.93/3,005.75
  6. Step 6: Final answer
    x = 3,567.53

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