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Finding the Fourth Proportional to 5,535.34, 7,648.49 and 4,425.44

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Solution

The fourth proportional to 5,535.34, 7,648.49 and 4,425.44 is: 6,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.34 : 7,648.49 = 4,425.44 : x
  2. Step 2: Convert to fraction form
    5,535.34/7,648.49 = 4,425.44/x
  3. Step 3: Cross multiply
    5,535.34x = 7,648.49 × 4,425.44
  4. Step 4: Simplify right side
    5,535.34x = 33,847,906.41
  5. Step 5: Solve for x
    x = 33,847,906.41/5,535.34
  6. Step 6: Final answer
    x = 6,114.88

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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.