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Finding the Fourth Proportional to 3,167.63, 4,367.23 and 2,171.13

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Solution

The fourth proportional to 3,167.63, 4,367.23 and 2,171.13 is: 2,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.63 : 4,367.23 = 2,171.13 : x
  2. Step 2: Convert to fraction form
    3,167.63/4,367.23 = 2,171.13/x
  3. Step 3: Cross multiply
    3,167.63x = 4,367.23 × 2,171.13
  4. Step 4: Simplify right side
    3,167.63x = 9,481,802.23
  5. Step 5: Solve for x
    x = 9,481,802.23/3,167.63
  6. Step 6: Final answer
    x = 2,993.34

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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.