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Finding the Fourth Proportional to 5,167.57, 7,131.27 and 2,809.69

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Solution

The fourth proportional to 5,167.57, 7,131.27 and 2,809.69 is: 3,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.57 : 7,131.27 = 2,809.69 : x
  2. Step 2: Convert to fraction form
    5,167.57/7,131.27 = 2,809.69/x
  3. Step 3: Cross multiply
    5,167.57x = 7,131.27 × 2,809.69
  4. Step 4: Simplify right side
    5,167.57x = 20,036,658.01
  5. Step 5: Solve for x
    x = 20,036,658.01/5,167.57
  6. Step 6: Final answer
    x = 3,877.38

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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.