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Finding the Fourth Proportional to 5,172.65, 7,757.81 and 1,474.80

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Solution

The fourth proportional to 5,172.65, 7,757.81 and 1,474.80 is: 2,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.65 : 7,757.81 = 1,474.80 : x
  2. Step 2: Convert to fraction form
    5,172.65/7,757.81 = 1,474.80/x
  3. Step 3: Cross multiply
    5,172.65x = 7,757.81 × 1,474.80
  4. Step 4: Simplify right side
    5,172.65x = 11,441,210.81
  5. Step 5: Solve for x
    x = 11,441,210.81/5,172.65
  6. Step 6: Final answer
    x = 2,211.87

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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.