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Finding the Fourth Proportional to 5,977.64, 8,966.70 and 2,082.44

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Solution

The fourth proportional to 5,977.64, 8,966.70 and 2,082.44 is: 3,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.64 : 8,966.70 = 2,082.44 : x
  2. Step 2: Convert to fraction form
    5,977.64/8,966.70 = 2,082.44/x
  3. Step 3: Cross multiply
    5,977.64x = 8,966.70 × 2,082.44
  4. Step 4: Simplify right side
    5,977.64x = 18,672,614.75
  5. Step 5: Solve for x
    x = 18,672,614.75/5,977.64
  6. Step 6: Final answer
    x = 3,123.74

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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.