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Finding the Fourth Proportional to 5,121.30, 7,673.82 and 3,728.25

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Solution

The fourth proportional to 5,121.30, 7,673.82 and 3,728.25 is: 5,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.30 : 7,673.82 = 3,728.25 : x
  2. Step 2: Convert to fraction form
    5,121.30/7,673.82 = 3,728.25/x
  3. Step 3: Cross multiply
    5,121.30x = 7,673.82 × 3,728.25
  4. Step 4: Simplify right side
    5,121.30x = 28,609,919.42
  5. Step 5: Solve for x
    x = 28,609,919.42/5,121.30
  6. Step 6: Final answer
    x = 5,586.46

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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.