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Finding the Fourth Proportional to 3,849.79, 5,744.46 and 3,614.68

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Solution

The fourth proportional to 3,849.79, 5,744.46 and 3,614.68 is: 5,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.79 : 5,744.46 = 3,614.68 : x
  2. Step 2: Convert to fraction form
    3,849.79/5,744.46 = 3,614.68/x
  3. Step 3: Cross multiply
    3,849.79x = 5,744.46 × 3,614.68
  4. Step 4: Simplify right side
    3,849.79x = 20,764,384.67
  5. Step 5: Solve for x
    x = 20,764,384.67/3,849.79
  6. Step 6: Final answer
    x = 5,393.64

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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.