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Finding the Fourth Proportional to 3,943.99, 5,909.02 and 3,514.96

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Solution

The fourth proportional to 3,943.99, 5,909.02 and 3,514.96 is: 5,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.99 : 5,909.02 = 3,514.96 : x
  2. Step 2: Convert to fraction form
    3,943.99/5,909.02 = 3,514.96/x
  3. Step 3: Cross multiply
    3,943.99x = 5,909.02 × 3,514.96
  4. Step 4: Simplify right side
    3,943.99x = 20,769,968.94
  5. Step 5: Solve for x
    x = 20,769,968.94/3,943.99
  6. Step 6: Final answer
    x = 5,266.23

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Why These Related Problems?

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