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Finding the Fourth Proportional to 3,943.94, 5,909.39 and 3,536.95

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Solution

The fourth proportional to 3,943.94, 5,909.39 and 3,536.95 is: 5,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.94 : 5,909.39 = 3,536.95 : x
  2. Step 2: Convert to fraction form
    3,943.94/5,909.39 = 3,536.95/x
  3. Step 3: Cross multiply
    3,943.94x = 5,909.39 × 3,536.95
  4. Step 4: Simplify right side
    3,943.94x = 20,901,195.01
  5. Step 5: Solve for x
    x = 20,901,195.01/3,943.94
  6. Step 6: Final answer
    x = 5,299.58

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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.