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Finding the Fourth Proportional to 3,980.96, 5,952.46 and 3,632.42

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Solution

The fourth proportional to 3,980.96, 5,952.46 and 3,632.42 is: 5,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.96 : 5,952.46 = 3,632.42 : x
  2. Step 2: Convert to fraction form
    3,980.96/5,952.46 = 3,632.42/x
  3. Step 3: Cross multiply
    3,980.96x = 5,952.46 × 3,632.42
  4. Step 4: Simplify right side
    3,980.96x = 21,621,834.75
  5. Step 5: Solve for x
    x = 21,621,834.75/3,980.96
  6. Step 6: Final answer
    x = 5,431.31

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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.