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Finding the Fourth Proportional to 3,657.43, 5,487.51 and 2,197.63

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Solution

The fourth proportional to 3,657.43, 5,487.51 and 2,197.63 is: 3,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.43 : 5,487.51 = 2,197.63 : x
  2. Step 2: Convert to fraction form
    3,657.43/5,487.51 = 2,197.63/x
  3. Step 3: Cross multiply
    3,657.43x = 5,487.51 × 2,197.63
  4. Step 4: Simplify right side
    3,657.43x = 12,059,516.60
  5. Step 5: Solve for x
    x = 12,059,516.60/3,657.43
  6. Step 6: Final answer
    x = 3,297.27

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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.