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Finding the Fourth Proportional to 5,493.88, 7,580.46 and 3,257.44

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Solution

The fourth proportional to 5,493.88, 7,580.46 and 3,257.44 is: 4,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.88 : 7,580.46 = 3,257.44 : x
  2. Step 2: Convert to fraction form
    5,493.88/7,580.46 = 3,257.44/x
  3. Step 3: Cross multiply
    5,493.88x = 7,580.46 × 3,257.44
  4. Step 4: Simplify right side
    5,493.88x = 24,692,893.62
  5. Step 5: Solve for x
    x = 24,692,893.62/5,493.88
  6. Step 6: Final answer
    x = 4,494.62

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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.