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Finding the Fourth Proportional to 5,996.33, 8,994.65 and 1,613.82

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Solution

The fourth proportional to 5,996.33, 8,994.65 and 1,613.82 is: 2,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.33 : 8,994.65 = 1,613.82 : x
  2. Step 2: Convert to fraction form
    5,996.33/8,994.65 = 1,613.82/x
  3. Step 3: Cross multiply
    5,996.33x = 8,994.65 × 1,613.82
  4. Step 4: Simplify right side
    5,996.33x = 14,515,771.72
  5. Step 5: Solve for x
    x = 14,515,771.72/5,996.33
  6. Step 6: Final answer
    x = 2,420.78

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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.