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Finding the Fourth Proportional to 3,849.29, 5,743.71 and 3,614.18

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Solution

The fourth proportional to 3,849.29, 5,743.71 and 3,614.18 is: 5,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.29 : 5,743.71 = 3,614.18 : x
  2. Step 2: Convert to fraction form
    3,849.29/5,743.71 = 3,614.18/x
  3. Step 3: Cross multiply
    3,849.29x = 5,743.71 × 3,614.18
  4. Step 4: Simplify right side
    3,849.29x = 20,758,773.09
  5. Step 5: Solve for x
    x = 20,758,773.09/3,849.29
  6. Step 6: Final answer
    x = 5,392.89

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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.