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Finding the Fourth Proportional to 3,172.37, 4,755.44 and 1,324.76

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Solution

The fourth proportional to 3,172.37, 4,755.44 and 1,324.76 is: 1,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.37 : 4,755.44 = 1,324.76 : x
  2. Step 2: Convert to fraction form
    3,172.37/4,755.44 = 1,324.76/x
  3. Step 3: Cross multiply
    3,172.37x = 4,755.44 × 1,324.76
  4. Step 4: Simplify right side
    3,172.37x = 6,299,796.23
  5. Step 5: Solve for x
    x = 6,299,796.23/3,172.37
  6. Step 6: Final answer
    x = 1,985.84

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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.