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Finding the Fourth Proportional to 3,897.96, 5,379.24 and 2,765.61

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Solution

The fourth proportional to 3,897.96, 5,379.24 and 2,765.61 is: 3,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.96 : 5,379.24 = 2,765.61 : x
  2. Step 2: Convert to fraction form
    3,897.96/5,379.24 = 2,765.61/x
  3. Step 3: Cross multiply
    3,897.96x = 5,379.24 × 2,765.61
  4. Step 4: Simplify right side
    3,897.96x = 14,876,879.94
  5. Step 5: Solve for x
    x = 14,876,879.94/3,897.96
  6. Step 6: Final answer
    x = 3,816.58

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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.