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Finding the Fourth Proportional to 5,777.58, 8,666.46 and 2,082.48

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Solution

The fourth proportional to 5,777.58, 8,666.46 and 2,082.48 is: 3,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.58 : 8,666.46 = 2,082.48 : x
  2. Step 2: Convert to fraction form
    5,777.58/8,666.46 = 2,082.48/x
  3. Step 3: Cross multiply
    5,777.58x = 8,666.46 × 2,082.48
  4. Step 4: Simplify right side
    5,777.58x = 18,047,729.62
  5. Step 5: Solve for x
    x = 18,047,729.62/5,777.58
  6. Step 6: Final answer
    x = 3,123.75

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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.