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Finding the Fourth Proportional to 6,175.32, 8,521.97 and 3,380.82

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Solution

The fourth proportional to 6,175.32, 8,521.97 and 3,380.82 is: 4,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.32 : 8,521.97 = 3,380.82 : x
  2. Step 2: Convert to fraction form
    6,175.32/8,521.97 = 3,380.82/x
  3. Step 3: Cross multiply
    6,175.32x = 8,521.97 × 3,380.82
  4. Step 4: Simplify right side
    6,175.32x = 28,811,229.71
  5. Step 5: Solve for x
    x = 28,811,229.71/6,175.32
  6. Step 6: Final answer
    x = 4,665.54

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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.