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Finding the Fourth Proportional to 5,406.40, 8,105.83 and 2,768.78

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Solution

The fourth proportional to 5,406.40, 8,105.83 and 2,768.78 is: 4,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.40 : 8,105.83 = 2,768.78 : x
  2. Step 2: Convert to fraction form
    5,406.40/8,105.83 = 2,768.78/x
  3. Step 3: Cross multiply
    5,406.40x = 8,105.83 × 2,768.78
  4. Step 4: Simplify right side
    5,406.40x = 22,443,259.99
  5. Step 5: Solve for x
    x = 22,443,259.99/5,406.40
  6. Step 6: Final answer
    x = 4,151.24

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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.