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Finding the Fourth Proportional to 5,122.44, 7,683.75 and 2,200.80

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Solution

The fourth proportional to 5,122.44, 7,683.75 and 2,200.80 is: 3,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.44 : 7,683.75 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    5,122.44/7,683.75 = 2,200.80/x
  3. Step 3: Cross multiply
    5,122.44x = 7,683.75 × 2,200.80
  4. Step 4: Simplify right side
    5,122.44x = 16,910,397
  5. Step 5: Solve for x
    x = 16,910,397/5,122.44
  6. Step 6: Final answer
    x = 3,301.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.