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Finding the Fourth Proportional to 5,969.50, 8,239.83 and 3,612.40

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Solution

The fourth proportional to 5,969.50, 8,239.83 and 3,612.40 is: 4,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.50 : 8,239.83 = 3,612.40 : x
  2. Step 2: Convert to fraction form
    5,969.50/8,239.83 = 3,612.40/x
  3. Step 3: Cross multiply
    5,969.50x = 8,239.83 × 3,612.40
  4. Step 4: Simplify right side
    5,969.50x = 29,765,527.75
  5. Step 5: Solve for x
    x = 29,765,527.75/5,969.50
  6. Step 6: Final answer
    x = 4,986.27

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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.