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Finding the Fourth Proportional to 3,657.37, 5,481.59 and 1,572.97

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Solution

The fourth proportional to 3,657.37, 5,481.59 and 1,572.97 is: 2,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.37 : 5,481.59 = 1,572.97 : x
  2. Step 2: Convert to fraction form
    3,657.37/5,481.59 = 1,572.97/x
  3. Step 3: Cross multiply
    3,657.37x = 5,481.59 × 1,572.97
  4. Step 4: Simplify right side
    3,657.37x = 8,622,375.61
  5. Step 5: Solve for x
    x = 8,622,375.61/3,657.37
  6. Step 6: Final answer
    x = 2,357.53

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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.