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Finding the Fourth Proportional to 6,188.46, 8,540.01 and 3,830.82

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Solution

The fourth proportional to 6,188.46, 8,540.01 and 3,830.82 is: 5,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.46 : 8,540.01 = 3,830.82 : x
  2. Step 2: Convert to fraction form
    6,188.46/8,540.01 = 3,830.82/x
  3. Step 3: Cross multiply
    6,188.46x = 8,540.01 × 3,830.82
  4. Step 4: Simplify right side
    6,188.46x = 32,715,241.11
  5. Step 5: Solve for x
    x = 32,715,241.11/6,188.46
  6. Step 6: Final answer
    x = 5,286.49

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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.