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Finding the Fourth Proportional to 3,172.72, 4,757.82 and 1,322.58

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Solution

The fourth proportional to 3,172.72, 4,757.82 and 1,322.58 is: 1,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.72 : 4,757.82 = 1,322.58 : x
  2. Step 2: Convert to fraction form
    3,172.72/4,757.82 = 1,322.58/x
  3. Step 3: Cross multiply
    3,172.72x = 4,757.82 × 1,322.58
  4. Step 4: Simplify right side
    3,172.72x = 6,292,597.58
  5. Step 5: Solve for x
    x = 6,292,597.58/3,172.72
  6. Step 6: Final answer
    x = 1,983.34

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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.