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Finding the Fourth Proportional to 5,164.75, 7,747.13 and 1,702.27

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Solution

The fourth proportional to 5,164.75, 7,747.13 and 1,702.27 is: 2,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.75 : 7,747.13 = 1,702.27 : x
  2. Step 2: Convert to fraction form
    5,164.75/7,747.13 = 1,702.27/x
  3. Step 3: Cross multiply
    5,164.75x = 7,747.13 × 1,702.27
  4. Step 4: Simplify right side
    5,164.75x = 13,187,706.99
  5. Step 5: Solve for x
    x = 13,187,706.99/5,164.75
  6. Step 6: Final answer
    x = 2,553.41

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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.