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Finding the Fourth Proportional to 3,975.42, 5,489.46 and 3,769.02

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Solution

The fourth proportional to 3,975.42, 5,489.46 and 3,769.02 is: 5,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.42 : 5,489.46 = 3,769.02 : x
  2. Step 2: Convert to fraction form
    3,975.42/5,489.46 = 3,769.02/x
  3. Step 3: Cross multiply
    3,975.42x = 5,489.46 × 3,769.02
  4. Step 4: Simplify right side
    3,975.42x = 20,689,884.53
  5. Step 5: Solve for x
    x = 20,689,884.53/3,975.42
  6. Step 6: Final answer
    x = 5,204.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.