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Finding the Fourth Proportional to 6,380.20, 8,808.97 and 5,705.91

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Solution

The fourth proportional to 6,380.20, 8,808.97 and 5,705.91 is: 7,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.20 : 8,808.97 = 5,705.91 : x
  2. Step 2: Convert to fraction form
    6,380.20/8,808.97 = 5,705.91/x
  3. Step 3: Cross multiply
    6,380.20x = 8,808.97 × 5,705.91
  4. Step 4: Simplify right side
    6,380.20x = 50,263,145.97
  5. Step 5: Solve for x
    x = 50,263,145.97/6,380.20
  6. Step 6: Final answer
    x = 7,877.99

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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.