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Finding the Fourth Proportional to 5,324.16, 7,975.67 and 2,509.14

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Solution

The fourth proportional to 5,324.16, 7,975.67 and 2,509.14 is: 3,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.16 : 7,975.67 = 2,509.14 : x
  2. Step 2: Convert to fraction form
    5,324.16/7,975.67 = 2,509.14/x
  3. Step 3: Cross multiply
    5,324.16x = 7,975.67 × 2,509.14
  4. Step 4: Simplify right side
    5,324.16x = 20,012,072.62
  5. Step 5: Solve for x
    x = 20,012,072.62/5,324.16
  6. Step 6: Final answer
    x = 3,758.73

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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.