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Finding the Fourth Proportional to 4,613.75, 6,906.49 and 3,728.01

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Solution

The fourth proportional to 4,613.75, 6,906.49 and 3,728.01 is: 5,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.75 : 6,906.49 = 3,728.01 : x
  2. Step 2: Convert to fraction form
    4,613.75/6,906.49 = 3,728.01/x
  3. Step 3: Cross multiply
    4,613.75x = 6,906.49 × 3,728.01
  4. Step 4: Simplify right side
    4,613.75x = 25,747,463.78
  5. Step 5: Solve for x
    x = 25,747,463.78/4,613.75
  6. Step 6: Final answer
    x = 5,580.59

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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.