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Finding the Fourth Proportional to 5,162.48, 7,743.72 and 1,266.85

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Solution

The fourth proportional to 5,162.48, 7,743.72 and 1,266.85 is: 1,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.48 : 7,743.72 = 1,266.85 : x
  2. Step 2: Convert to fraction form
    5,162.48/7,743.72 = 1,266.85/x
  3. Step 3: Cross multiply
    5,162.48x = 7,743.72 × 1,266.85
  4. Step 4: Simplify right side
    5,162.48x = 9,810,131.68
  5. Step 5: Solve for x
    x = 9,810,131.68/5,162.48
  6. Step 6: Final answer
    x = 1,900.28

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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.