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Finding the Fourth Proportional to 6,189.82, 8,546.88 and 5,717.55

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Solution

The fourth proportional to 6,189.82, 8,546.88 and 5,717.55 is: 7,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.82 : 8,546.88 = 5,717.55 : x
  2. Step 2: Convert to fraction form
    6,189.82/8,546.88 = 5,717.55/x
  3. Step 3: Cross multiply
    6,189.82x = 8,546.88 × 5,717.55
  4. Step 4: Simplify right side
    6,189.82x = 48,867,267.24
  5. Step 5: Solve for x
    x = 48,867,267.24/6,189.82
  6. Step 6: Final answer
    x = 7,894.78

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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.