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Finding the Fourth Proportional to 5,172.05, 7,758.53 and 1,662.37

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Solution

The fourth proportional to 5,172.05, 7,758.53 and 1,662.37 is: 2,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.05 : 7,758.53 = 1,662.37 : x
  2. Step 2: Convert to fraction form
    5,172.05/7,758.53 = 1,662.37/x
  3. Step 3: Cross multiply
    5,172.05x = 7,758.53 × 1,662.37
  4. Step 4: Simplify right side
    5,172.05x = 12,897,579.03
  5. Step 5: Solve for x
    x = 12,897,579.03/5,172.05
  6. Step 6: Final answer
    x = 2,493.71

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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.