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Finding the Fourth Proportional to 4,082.68, 6,114.30 and 3,261.61

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Solution

The fourth proportional to 4,082.68, 6,114.30 and 3,261.61 is: 4,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.68 : 6,114.30 = 3,261.61 : x
  2. Step 2: Convert to fraction form
    4,082.68/6,114.30 = 3,261.61/x
  3. Step 3: Cross multiply
    4,082.68x = 6,114.30 × 3,261.61
  4. Step 4: Simplify right side
    4,082.68x = 19,942,462.02
  5. Step 5: Solve for x
    x = 19,942,462.02/4,082.68
  6. Step 6: Final answer
    x = 4,884.65

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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.