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Finding the Fourth Proportional to 3,879.16, 5,817.84 and 1,105.76

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Solution

The fourth proportional to 3,879.16, 5,817.84 and 1,105.76 is: 1,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.16 : 5,817.84 = 1,105.76 : x
  2. Step 2: Convert to fraction form
    3,879.16/5,817.84 = 1,105.76/x
  3. Step 3: Cross multiply
    3,879.16x = 5,817.84 × 1,105.76
  4. Step 4: Simplify right side
    3,879.16x = 6,433,134.76
  5. Step 5: Solve for x
    x = 6,433,134.76/3,879.16
  6. Step 6: Final answer
    x = 1,658.38

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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.