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Finding the Fourth Proportional to 4,661.69, 6,983.30 and 3,019.38

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Solution

The fourth proportional to 4,661.69, 6,983.30 and 3,019.38 is: 4,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.69 : 6,983.30 = 3,019.38 : x
  2. Step 2: Convert to fraction form
    4,661.69/6,983.30 = 3,019.38/x
  3. Step 3: Cross multiply
    4,661.69x = 6,983.30 × 3,019.38
  4. Step 4: Simplify right side
    4,661.69x = 21,085,221.26
  5. Step 5: Solve for x
    x = 21,085,221.26/4,661.69
  6. Step 6: Final answer
    x = 4,523.09

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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.