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Finding the Fourth Proportional to 5,172.71, 7,758.90 and 1,662.71

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Solution

The fourth proportional to 5,172.71, 7,758.90 and 1,662.71 is: 2,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.71 : 7,758.90 = 1,662.71 : x
  2. Step 2: Convert to fraction form
    5,172.71/7,758.90 = 1,662.71/x
  3. Step 3: Cross multiply
    5,172.71x = 7,758.90 × 1,662.71
  4. Step 4: Simplify right side
    5,172.71x = 12,900,800.62
  5. Step 5: Solve for x
    x = 12,900,800.62/5,172.71
  6. Step 6: Final answer
    x = 2,494.01

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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.