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Finding the Fourth Proportional to 5,834.89, 8,052.18 and 3,182.31

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Solution

The fourth proportional to 5,834.89, 8,052.18 and 3,182.31 is: 4,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.89 : 8,052.18 = 3,182.31 : x
  2. Step 2: Convert to fraction form
    5,834.89/8,052.18 = 3,182.31/x
  3. Step 3: Cross multiply
    5,834.89x = 8,052.18 × 3,182.31
  4. Step 4: Simplify right side
    5,834.89x = 25,624,570.50
  5. Step 5: Solve for x
    x = 25,624,570.50/5,834.89
  6. Step 6: Final answer
    x = 4,391.61

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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.