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Finding the Fourth Proportional to 3,657.44, 5,480.40 and 2,093.60

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Solution

The fourth proportional to 3,657.44, 5,480.40 and 2,093.60 is: 3,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.44 : 5,480.40 = 2,093.60 : x
  2. Step 2: Convert to fraction form
    3,657.44/5,480.40 = 2,093.60/x
  3. Step 3: Cross multiply
    3,657.44x = 5,480.40 × 2,093.60
  4. Step 4: Simplify right side
    3,657.44x = 11,473,765.44
  5. Step 5: Solve for x
    x = 11,473,765.44/3,657.44
  6. Step 6: Final answer
    x = 3,137.10

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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.