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Finding the Fourth Proportional to 3,743.80, 5,231.60 and 3,743.80

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Solution

The fourth proportional to 3,743.80, 5,231.60 and 3,743.80 is: 5,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.80 : 5,231.60 = 3,743.80 : x
  2. Step 2: Convert to fraction form
    3,743.80/5,231.60 = 3,743.80/x
  3. Step 3: Cross multiply
    3,743.80x = 5,231.60 × 3,743.80
  4. Step 4: Simplify right side
    3,743.80x = 19,586,064.08
  5. Step 5: Solve for x
    x = 19,586,064.08/3,743.80
  6. Step 6: Final answer
    x = 5,231.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.