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Finding the Fourth Proportional to 4,082.63, 6,123.83 and 1,309.49

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Solution

The fourth proportional to 4,082.63, 6,123.83 and 1,309.49 is: 1,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.63 : 6,123.83 = 1,309.49 : x
  2. Step 2: Convert to fraction form
    4,082.63/6,123.83 = 1,309.49/x
  3. Step 3: Cross multiply
    4,082.63x = 6,123.83 × 1,309.49
  4. Step 4: Simplify right side
    4,082.63x = 8,019,056.98
  5. Step 5: Solve for x
    x = 8,019,056.98/4,082.63
  6. Step 6: Final answer
    x = 1,964.19

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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.