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Finding the Fourth Proportional to 3,982.40, 5,966.40 and 3,406.40

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Solution

The fourth proportional to 3,982.40, 5,966.40 and 3,406.40 is: 5,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.40 : 5,966.40 = 3,406.40 : x
  2. Step 2: Convert to fraction form
    3,982.40/5,966.40 = 3,406.40/x
  3. Step 3: Cross multiply
    3,982.40x = 5,966.40 × 3,406.40
  4. Step 4: Simplify right side
    3,982.40x = 20,323,944.96
  5. Step 5: Solve for x
    x = 20,323,944.96/3,982.40
  6. Step 6: Final answer
    x = 5,103.44

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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.