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Finding the Fourth Proportional to 6,515.38, 8,991.78 and 3,683.28

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Solution

The fourth proportional to 6,515.38, 8,991.78 and 3,683.28 is: 5,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.38 : 8,991.78 = 3,683.28 : x
  2. Step 2: Convert to fraction form
    6,515.38/8,991.78 = 3,683.28/x
  3. Step 3: Cross multiply
    6,515.38x = 8,991.78 × 3,683.28
  4. Step 4: Simplify right side
    6,515.38x = 33,119,243.44
  5. Step 5: Solve for x
    x = 33,119,243.44/6,515.38
  6. Step 6: Final answer
    x = 5,083.24

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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.