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Finding the Fourth Proportional to 3,711.66, 5,118.24 and 3,182.37

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Solution

The fourth proportional to 3,711.66, 5,118.24 and 3,182.37 is: 4,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.66 : 5,118.24 = 3,182.37 : x
  2. Step 2: Convert to fraction form
    3,711.66/5,118.24 = 3,182.37/x
  3. Step 3: Cross multiply
    3,711.66x = 5,118.24 × 3,182.37
  4. Step 4: Simplify right side
    3,711.66x = 16,288,133.43
  5. Step 5: Solve for x
    x = 16,288,133.43/3,711.66
  6. Step 6: Final answer
    x = 4,388.37

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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.