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Finding the Fourth Proportional to 5,136.03, 7,702.02 and 2,797.97

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Solution

The fourth proportional to 5,136.03, 7,702.02 and 2,797.97 is: 4,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.03 : 7,702.02 = 2,797.97 : x
  2. Step 2: Convert to fraction form
    5,136.03/7,702.02 = 2,797.97/x
  3. Step 3: Cross multiply
    5,136.03x = 7,702.02 × 2,797.97
  4. Step 4: Simplify right side
    5,136.03x = 21,549,982.39
  5. Step 5: Solve for x
    x = 21,549,982.39/5,136.03
  6. Step 6: Final answer
    x = 4,195.84

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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.