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Finding the Fourth Proportional to 3,801.21, 5,245.40 and 2,229

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Solution

The fourth proportional to 3,801.21, 5,245.40 and 2,229 is: 3,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.21 : 5,245.40 = 2,229 : x
  2. Step 2: Convert to fraction form
    3,801.21/5,245.40 = 2,229/x
  3. Step 3: Cross multiply
    3,801.21x = 5,245.40 × 2,229
  4. Step 4: Simplify right side
    3,801.21x = 11,691,996.60
  5. Step 5: Solve for x
    x = 11,691,996.60/3,801.21
  6. Step 6: Final answer
    x = 3,075.86

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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.