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Finding the Fourth Proportional to 3,755.89, 5,633.40 and 982.83

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Solution

The fourth proportional to 3,755.89, 5,633.40 and 982.83 is: 1,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.89 : 5,633.40 = 982.83 : x
  2. Step 2: Convert to fraction form
    3,755.89/5,633.40 = 982.83/x
  3. Step 3: Cross multiply
    3,755.89x = 5,633.40 × 982.83
  4. Step 4: Simplify right side
    3,755.89x = 5,536,646.27
  5. Step 5: Solve for x
    x = 5,536,646.27/3,755.89
  6. Step 6: Final answer
    x = 1,474.13

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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.