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Finding the Fourth Proportional to 3,857.69, 5,323.62 and 2,133

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Solution

The fourth proportional to 3,857.69, 5,323.62 and 2,133 is: 2,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.69 : 5,323.62 = 2,133 : x
  2. Step 2: Convert to fraction form
    3,857.69/5,323.62 = 2,133/x
  3. Step 3: Cross multiply
    3,857.69x = 5,323.62 × 2,133
  4. Step 4: Simplify right side
    3,857.69x = 11,355,289.46
  5. Step 5: Solve for x
    x = 11,355,289.46/3,857.69
  6. Step 6: Final answer
    x = 2,943.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.