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Finding the Fourth Proportional to 4,342.33, 5,992.13 and 2,770.25

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Solution

The fourth proportional to 4,342.33, 5,992.13 and 2,770.25 is: 3,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.33 : 5,992.13 = 2,770.25 : x
  2. Step 2: Convert to fraction form
    4,342.33/5,992.13 = 2,770.25/x
  3. Step 3: Cross multiply
    4,342.33x = 5,992.13 × 2,770.25
  4. Step 4: Simplify right side
    4,342.33x = 16,599,684.28
  5. Step 5: Solve for x
    x = 16,599,684.28/4,342.33
  6. Step 6: Final answer
    x = 3,822.76

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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.