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Finding the Fourth Proportional to 4,562.06, 6,832.84 and 2,778.29

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Solution

The fourth proportional to 4,562.06, 6,832.84 and 2,778.29 is: 4,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.06 : 6,832.84 = 2,778.29 : x
  2. Step 2: Convert to fraction form
    4,562.06/6,832.84 = 2,778.29/x
  3. Step 3: Cross multiply
    4,562.06x = 6,832.84 × 2,778.29
  4. Step 4: Simplify right side
    4,562.06x = 18,983,611.04
  5. Step 5: Solve for x
    x = 18,983,611.04/4,562.06
  6. Step 6: Final answer
    x = 4,161.19

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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.