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Finding the Fourth Proportional to 3,897.96, 5,855.54 and 3,379.56

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Solution

The fourth proportional to 3,897.96, 5,855.54 and 3,379.56 is: 5,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.96 : 5,855.54 = 3,379.56 : x
  2. Step 2: Convert to fraction form
    3,897.96/5,855.54 = 3,379.56/x
  3. Step 3: Cross multiply
    3,897.96x = 5,855.54 × 3,379.56
  4. Step 4: Simplify right side
    3,897.96x = 19,789,148.76
  5. Step 5: Solve for x
    x = 19,789,148.76/3,897.96
  6. Step 6: Final answer
    x = 5,076.80

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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.