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Finding the Fourth Proportional to 5,986.80, 8,260.92 and 3,629.16

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Solution

The fourth proportional to 5,986.80, 8,260.92 and 3,629.16 is: 5,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.80 : 8,260.92 = 3,629.16 : x
  2. Step 2: Convert to fraction form
    5,986.80/8,260.92 = 3,629.16/x
  3. Step 3: Cross multiply
    5,986.80x = 8,260.92 × 3,629.16
  4. Step 4: Simplify right side
    5,986.80x = 29,980,200.43
  5. Step 5: Solve for x
    x = 29,980,200.43/5,986.80
  6. Step 6: Final answer
    x = 5,007.72

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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.