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Finding the Fourth Proportional to 3,849.01, 5,743.28 and 3,613.91

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Solution

The fourth proportional to 3,849.01, 5,743.28 and 3,613.91 is: 5,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.01 : 5,743.28 = 3,613.91 : x
  2. Step 2: Convert to fraction form
    3,849.01/5,743.28 = 3,613.91/x
  3. Step 3: Cross multiply
    3,849.01x = 5,743.28 × 3,613.91
  4. Step 4: Simplify right side
    3,849.01x = 20,755,677.34
  5. Step 5: Solve for x
    x = 20,755,677.34/3,849.01
  6. Step 6: Final answer
    x = 5,392.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.