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Finding the Fourth Proportional to 4,090.34, 5,644.50 and 2,227.34

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Solution

The fourth proportional to 4,090.34, 5,644.50 and 2,227.34 is: 3,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.34 : 5,644.50 = 2,227.34 : x
  2. Step 2: Convert to fraction form
    4,090.34/5,644.50 = 2,227.34/x
  3. Step 3: Cross multiply
    4,090.34x = 5,644.50 × 2,227.34
  4. Step 4: Simplify right side
    4,090.34x = 12,572,220.63
  5. Step 5: Solve for x
    x = 12,572,220.63/4,090.34
  6. Step 6: Final answer
    x = 3,073.64

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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.