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Finding the Fourth Proportional to 3,744, 5,613.12 and 2,010.24

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Solution

The fourth proportional to 3,744, 5,613.12 and 2,010.24 is: 3,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 5,613.12 = 2,010.24 : x
  2. Step 2: Convert to fraction form
    3,744/5,613.12 = 2,010.24/x
  3. Step 3: Cross multiply
    3,744x = 5,613.12 × 2,010.24
  4. Step 4: Simplify right side
    3,744x = 11,283,718.35
  5. Step 5: Solve for x
    x = 11,283,718.35/3,744
  6. Step 6: Final answer
    x = 3,013.81

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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.