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Finding the Fourth Proportional to 6,080.72, 8,387.70 and 3,840.80

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Solution

The fourth proportional to 6,080.72, 8,387.70 and 3,840.80 is: 5,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.72 : 8,387.70 = 3,840.80 : x
  2. Step 2: Convert to fraction form
    6,080.72/8,387.70 = 3,840.80/x
  3. Step 3: Cross multiply
    6,080.72x = 8,387.70 × 3,840.80
  4. Step 4: Simplify right side
    6,080.72x = 32,215,478.16
  5. Step 5: Solve for x
    x = 32,215,478.16/6,080.72
  6. Step 6: Final answer
    x = 5,297.97

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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.