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Finding the Fourth Proportional to 4,057.98, 6,086.91 and 2,082.47

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Solution

The fourth proportional to 4,057.98, 6,086.91 and 2,082.47 is: 3,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.98 : 6,086.91 = 2,082.47 : x
  2. Step 2: Convert to fraction form
    4,057.98/6,086.91 = 2,082.47/x
  3. Step 3: Cross multiply
    4,057.98x = 6,086.91 × 2,082.47
  4. Step 4: Simplify right side
    4,057.98x = 12,675,807.47
  5. Step 5: Solve for x
    x = 12,675,807.47/4,057.98
  6. Step 6: Final answer
    x = 3,123.67

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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.