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Finding the Fourth Proportional to 3,553.47, 4,906.20 and 2,297.56

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Solution

The fourth proportional to 3,553.47, 4,906.20 and 2,297.56 is: 3,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.47 : 4,906.20 = 2,297.56 : x
  2. Step 2: Convert to fraction form
    3,553.47/4,906.20 = 2,297.56/x
  3. Step 3: Cross multiply
    3,553.47x = 4,906.20 × 2,297.56
  4. Step 4: Simplify right side
    3,553.47x = 11,272,288.87
  5. Step 5: Solve for x
    x = 11,272,288.87/3,553.47
  6. Step 6: Final answer
    x = 3,172.20

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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.