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Finding the Fourth Proportional to 4,342.86, 5,991.12 and 2,769.96

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Solution

The fourth proportional to 4,342.86, 5,991.12 and 2,769.96 is: 3,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.86 : 5,991.12 = 2,769.96 : x
  2. Step 2: Convert to fraction form
    4,342.86/5,991.12 = 2,769.96/x
  3. Step 3: Cross multiply
    4,342.86x = 5,991.12 × 2,769.96
  4. Step 4: Simplify right side
    4,342.86x = 16,595,162.76
  5. Step 5: Solve for x
    x = 16,595,162.76/4,342.86
  6. Step 6: Final answer
    x = 3,821.25

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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.