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Finding the Fourth Proportional to 5,218.41, 7,828.43 and 1,755.39

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Solution

The fourth proportional to 5,218.41, 7,828.43 and 1,755.39 is: 2,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.41 : 7,828.43 = 1,755.39 : x
  2. Step 2: Convert to fraction form
    5,218.41/7,828.43 = 1,755.39/x
  3. Step 3: Cross multiply
    5,218.41x = 7,828.43 × 1,755.39
  4. Step 4: Simplify right side
    5,218.41x = 13,741,938.96
  5. Step 5: Solve for x
    x = 13,741,938.96/5,218.41
  6. Step 6: Final answer
    x = 2,633.36

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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.