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Finding the Fourth Proportional to 2,999.86, 4,469.63 and 2,832.19

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Solution

The fourth proportional to 2,999.86, 4,469.63 and 2,832.19 is: 4,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.86 : 4,469.63 = 2,832.19 : x
  2. Step 2: Convert to fraction form
    2,999.86/4,469.63 = 2,832.19/x
  3. Step 3: Cross multiply
    2,999.86x = 4,469.63 × 2,832.19
  4. Step 4: Simplify right side
    2,999.86x = 12,658,816.05
  5. Step 5: Solve for x
    x = 12,658,816.05/2,999.86
  6. Step 6: Final answer
    x = 4,219.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.