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Finding the Fourth Proportional to 5,977.71, 8,966.84 and 2,082.42

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Solution

The fourth proportional to 5,977.71, 8,966.84 and 2,082.42 is: 3,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.71 : 8,966.84 = 2,082.42 : x
  2. Step 2: Convert to fraction form
    5,977.71/8,966.84 = 2,082.42/x
  3. Step 3: Cross multiply
    5,977.71x = 8,966.84 × 2,082.42
  4. Step 4: Simplify right side
    5,977.71x = 18,672,716.54
  5. Step 5: Solve for x
    x = 18,672,716.54/5,977.71
  6. Step 6: Final answer
    x = 3,123.72

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Why These Related Problems?

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