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Finding the Fourth Proportional to 4,141.62, 6,220.53 and 3,989.34

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Solution

The fourth proportional to 4,141.62, 6,220.53 and 3,989.34 is: 5,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.62 : 6,220.53 = 3,989.34 : x
  2. Step 2: Convert to fraction form
    4,141.62/6,220.53 = 3,989.34/x
  3. Step 3: Cross multiply
    4,141.62x = 6,220.53 × 3,989.34
  4. Step 4: Simplify right side
    4,141.62x = 24,815,809.15
  5. Step 5: Solve for x
    x = 24,815,809.15/4,141.62
  6. Step 6: Final answer
    x = 5,991.81

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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.