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Finding the Fourth Proportional to 6,180.98, 8,527.97 and 3,790.16

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Solution

The fourth proportional to 6,180.98, 8,527.97 and 3,790.16 is: 5,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.98 : 8,527.97 = 3,790.16 : x
  2. Step 2: Convert to fraction form
    6,180.98/8,527.97 = 3,790.16/x
  3. Step 3: Cross multiply
    6,180.98x = 8,527.97 × 3,790.16
  4. Step 4: Simplify right side
    6,180.98x = 32,322,309.18
  5. Step 5: Solve for x
    x = 32,322,309.18/6,180.98
  6. Step 6: Final answer
    x = 5,229.32

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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.