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Finding the Fourth Proportional to 5,287.15, 7,930.71 and 2,167.16

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Solution

The fourth proportional to 5,287.15, 7,930.71 and 2,167.16 is: 3,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.15 : 7,930.71 = 2,167.16 : x
  2. Step 2: Convert to fraction form
    5,287.15/7,930.71 = 2,167.16/x
  3. Step 3: Cross multiply
    5,287.15x = 7,930.71 × 2,167.16
  4. Step 4: Simplify right side
    5,287.15x = 17,187,072.41
  5. Step 5: Solve for x
    x = 17,187,072.41/5,287.15
  6. Step 6: Final answer
    x = 3,250.73

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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.