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Finding the Fourth Proportional to 5,293.41, 7,918.24 and 4,812.27

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Solution

The fourth proportional to 5,293.41, 7,918.24 and 4,812.27 is: 7,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.41 : 7,918.24 = 4,812.27 : x
  2. Step 2: Convert to fraction form
    5,293.41/7,918.24 = 4,812.27/x
  3. Step 3: Cross multiply
    5,293.41x = 7,918.24 × 4,812.27
  4. Step 4: Simplify right side
    5,293.41x = 38,104,708.80
  5. Step 5: Solve for x
    x = 38,104,708.80/5,293.41
  6. Step 6: Final answer
    x = 7,198.52

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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.