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Finding the Fourth Proportional to 4,231.49, 5,840.00 and 2,553.84

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Solution

The fourth proportional to 4,231.49, 5,840.00 and 2,553.84 is: 3,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.49 : 5,840.00 = 2,553.84 : x
  2. Step 2: Convert to fraction form
    4,231.49/5,840.00 = 2,553.84/x
  3. Step 3: Cross multiply
    4,231.49x = 5,840.00 × 2,553.84
  4. Step 4: Simplify right side
    4,231.49x = 14,914,422.41
  5. Step 5: Solve for x
    x = 14,914,422.41/4,231.49
  6. Step 6: Final answer
    x = 3,524.63

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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.