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Finding the Fourth Proportional to 3,909.99, 5,865.03 and 1,829.37

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Solution

The fourth proportional to 3,909.99, 5,865.03 and 1,829.37 is: 2,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.99 : 5,865.03 = 1,829.37 : x
  2. Step 2: Convert to fraction form
    3,909.99/5,865.03 = 1,829.37/x
  3. Step 3: Cross multiply
    3,909.99x = 5,865.03 × 1,829.37
  4. Step 4: Simplify right side
    3,909.99x = 10,729,309.93
  5. Step 5: Solve for x
    x = 10,729,309.93/3,909.99
  6. Step 6: Final answer
    x = 2,744.08

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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.