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Finding the Fourth Proportional to 6,514.88, 8,991.27 and 3,683.39

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Solution

The fourth proportional to 6,514.88, 8,991.27 and 3,683.39 is: 5,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.88 : 8,991.27 = 3,683.39 : x
  2. Step 2: Convert to fraction form
    6,514.88/8,991.27 = 3,683.39/x
  3. Step 3: Cross multiply
    6,514.88x = 8,991.27 × 3,683.39
  4. Step 4: Simplify right side
    6,514.88x = 33,118,309.05
  5. Step 5: Solve for x
    x = 33,118,309.05/6,514.88
  6. Step 6: Final answer
    x = 5,083.49

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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.