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Finding the Fourth Proportional to 3,659.72, 5,049.16 and 2,087.42

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Solution

The fourth proportional to 3,659.72, 5,049.16 and 2,087.42 is: 2,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.72 : 5,049.16 = 2,087.42 : x
  2. Step 2: Convert to fraction form
    3,659.72/5,049.16 = 2,087.42/x
  3. Step 3: Cross multiply
    3,659.72x = 5,049.16 × 2,087.42
  4. Step 4: Simplify right side
    3,659.72x = 10,539,687.10
  5. Step 5: Solve for x
    x = 10,539,687.10/3,659.72
  6. Step 6: Final answer
    x = 2,879.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.