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Finding the Fourth Proportional to 5,996.96, 8,277.16 and 3,897.44

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Solution

The fourth proportional to 5,996.96, 8,277.16 and 3,897.44 is: 5,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.96 : 8,277.16 = 3,897.44 : x
  2. Step 2: Convert to fraction form
    5,996.96/8,277.16 = 3,897.44/x
  3. Step 3: Cross multiply
    5,996.96x = 8,277.16 × 3,897.44
  4. Step 4: Simplify right side
    5,996.96x = 32,259,734.47
  5. Step 5: Solve for x
    x = 32,259,734.47/5,996.96
  6. Step 6: Final answer
    x = 5,379.35

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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.