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Finding the Fourth Proportional to 5,163.41, 7,743.94 and 1,464.64

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Solution

The fourth proportional to 5,163.41, 7,743.94 and 1,464.64 is: 2,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.41 : 7,743.94 = 1,464.64 : x
  2. Step 2: Convert to fraction form
    5,163.41/7,743.94 = 1,464.64/x
  3. Step 3: Cross multiply
    5,163.41x = 7,743.94 × 1,464.64
  4. Step 4: Simplify right side
    5,163.41x = 11,342,061.26
  5. Step 5: Solve for x
    x = 11,342,061.26/5,163.41
  6. Step 6: Final answer
    x = 2,196.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.