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Finding the Fourth Proportional to 3,627.16, 5,006.98 and 2,743.24

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Solution

The fourth proportional to 3,627.16, 5,006.98 and 2,743.24 is: 3,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.16 : 5,006.98 = 2,743.24 : x
  2. Step 2: Convert to fraction form
    3,627.16/5,006.98 = 2,743.24/x
  3. Step 3: Cross multiply
    3,627.16x = 5,006.98 × 2,743.24
  4. Step 4: Simplify right side
    3,627.16x = 13,735,347.82
  5. Step 5: Solve for x
    x = 13,735,347.82/3,627.16
  6. Step 6: Final answer
    x = 3,786.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.