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Finding the Fourth Proportional to 3,759.69, 5,631 and 3,016.71

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Solution

The fourth proportional to 3,759.69, 5,631 and 3,016.71 is: 4,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.69 : 5,631 = 3,016.71 : x
  2. Step 2: Convert to fraction form
    3,759.69/5,631 = 3,016.71/x
  3. Step 3: Cross multiply
    3,759.69x = 5,631 × 3,016.71
  4. Step 4: Simplify right side
    3,759.69x = 16,987,094.01
  5. Step 5: Solve for x
    x = 16,987,094.01/3,759.69
  6. Step 6: Final answer
    x = 4,518.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.