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Finding the Fourth Proportional to 4,191.72, 6,282.27 and 4,082.70

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Solution

The fourth proportional to 4,191.72, 6,282.27 and 4,082.70 is: 6,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.72 : 6,282.27 = 4,082.70 : x
  2. Step 2: Convert to fraction form
    4,191.72/6,282.27 = 4,082.70/x
  3. Step 3: Cross multiply
    4,191.72x = 6,282.27 × 4,082.70
  4. Step 4: Simplify right side
    4,191.72x = 25,648,623.73
  5. Step 5: Solve for x
    x = 25,648,623.73/4,191.72
  6. Step 6: Final answer
    x = 6,118.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.