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Finding the Fourth Proportional to 3,728.50, 5,145.26 and 2,049.81

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Solution

The fourth proportional to 3,728.50, 5,145.26 and 2,049.81 is: 2,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.50 : 5,145.26 = 2,049.81 : x
  2. Step 2: Convert to fraction form
    3,728.50/5,145.26 = 2,049.81/x
  3. Step 3: Cross multiply
    3,728.50x = 5,145.26 × 2,049.81
  4. Step 4: Simplify right side
    3,728.50x = 10,546,775.86
  5. Step 5: Solve for x
    x = 10,546,775.86/3,728.50
  6. Step 6: Final answer
    x = 2,828.69

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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.