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Finding the Fourth Proportional to 4,090.29, 5,644.73 and 2,321.73

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Solution

The fourth proportional to 4,090.29, 5,644.73 and 2,321.73 is: 3,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.29 : 5,644.73 = 2,321.73 : x
  2. Step 2: Convert to fraction form
    4,090.29/5,644.73 = 2,321.73/x
  3. Step 3: Cross multiply
    4,090.29x = 5,644.73 × 2,321.73
  4. Step 4: Simplify right side
    4,090.29x = 13,105,538.98
  5. Step 5: Solve for x
    x = 13,105,538.98/4,090.29
  6. Step 6: Final answer
    x = 3,204.06

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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.