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Finding the Fourth Proportional to 3,932.01, 5,426.91 and 2,986.11

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Solution

The fourth proportional to 3,932.01, 5,426.91 and 2,986.11 is: 4,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.01 : 5,426.91 = 2,986.11 : x
  2. Step 2: Convert to fraction form
    3,932.01/5,426.91 = 2,986.11/x
  3. Step 3: Cross multiply
    3,932.01x = 5,426.91 × 2,986.11
  4. Step 4: Simplify right side
    3,932.01x = 16,205,350.22
  5. Step 5: Solve for x
    x = 16,205,350.22/3,932.01
  6. Step 6: Final answer
    x = 4,121.39

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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.