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Finding the Fourth Proportional to 3,768.54, 5,651.69 and 1,426.81

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Solution

The fourth proportional to 3,768.54, 5,651.69 and 1,426.81 is: 2,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.54 : 5,651.69 = 1,426.81 : x
  2. Step 2: Convert to fraction form
    3,768.54/5,651.69 = 1,426.81/x
  3. Step 3: Cross multiply
    3,768.54x = 5,651.69 × 1,426.81
  4. Step 4: Simplify right side
    3,768.54x = 8,063,887.81
  5. Step 5: Solve for x
    x = 8,063,887.81/3,768.54
  6. Step 6: Final answer
    x = 2,139.79

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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.