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Finding the Fourth Proportional to 3,966.35, 5,474.21 and 3,020.63

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Solution

The fourth proportional to 3,966.35, 5,474.21 and 3,020.63 is: 4,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.35 : 5,474.21 = 3,020.63 : x
  2. Step 2: Convert to fraction form
    3,966.35/5,474.21 = 3,020.63/x
  3. Step 3: Cross multiply
    3,966.35x = 5,474.21 × 3,020.63
  4. Step 4: Simplify right side
    3,966.35x = 16,535,520.48
  5. Step 5: Solve for x
    x = 16,535,520.48/3,966.35
  6. Step 6: Final answer
    x = 4,168.96

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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.