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Finding the Fourth Proportional to 3,648.89, 5,469.69 and 3,374.30

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Solution

The fourth proportional to 3,648.89, 5,469.69 and 3,374.30 is: 5,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.89 : 5,469.69 = 3,374.30 : x
  2. Step 2: Convert to fraction form
    3,648.89/5,469.69 = 3,374.30/x
  3. Step 3: Cross multiply
    3,648.89x = 5,469.69 × 3,374.30
  4. Step 4: Simplify right side
    3,648.89x = 18,456,374.97
  5. Step 5: Solve for x
    x = 18,456,374.97/3,648.89
  6. Step 6: Final answer
    x = 5,058.08

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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.