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Finding the Fourth Proportional to 4,082.99, 6,123.31 and 2,234.93

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Solution

The fourth proportional to 4,082.99, 6,123.31 and 2,234.93 is: 3,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.99 : 6,123.31 = 2,234.93 : x
  2. Step 2: Convert to fraction form
    4,082.99/6,123.31 = 2,234.93/x
  3. Step 3: Cross multiply
    4,082.99x = 6,123.31 × 2,234.93
  4. Step 4: Simplify right side
    4,082.99x = 13,685,133.01
  5. Step 5: Solve for x
    x = 13,685,133.01/4,082.99
  6. Step 6: Final answer
    x = 3,351.75

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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.