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Finding the Fourth Proportional to 3,849.12, 5,736.62 and 3,816.92

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Solution

The fourth proportional to 3,849.12, 5,736.62 and 3,816.92 is: 5,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.12 : 5,736.62 = 3,816.92 : x
  2. Step 2: Convert to fraction form
    3,849.12/5,736.62 = 3,816.92/x
  3. Step 3: Cross multiply
    3,849.12x = 5,736.62 × 3,816.92
  4. Step 4: Simplify right side
    3,849.12x = 21,896,243.49
  5. Step 5: Solve for x
    x = 21,896,243.49/3,849.12
  6. Step 6: Final answer
    x = 5,688.64

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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.