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Finding the Fourth Proportional to 4,231.67, 5,837.81 and 2,552.00

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Solution

The fourth proportional to 4,231.67, 5,837.81 and 2,552.00 is: 3,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.67 : 5,837.81 = 2,552.00 : x
  2. Step 2: Convert to fraction form
    4,231.67/5,837.81 = 2,552.00/x
  3. Step 3: Cross multiply
    4,231.67x = 5,837.81 × 2,552.00
  4. Step 4: Simplify right side
    4,231.67x = 14,898,049.17
  5. Step 5: Solve for x
    x = 14,898,049.17/4,231.67
  6. Step 6: Final answer
    x = 3,520.61

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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.