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Finding the Fourth Proportional to 3,816.33, 5,267.00 and 2,324.46

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Solution

The fourth proportional to 3,816.33, 5,267.00 and 2,324.46 is: 3,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.33 : 5,267.00 = 2,324.46 : x
  2. Step 2: Convert to fraction form
    3,816.33/5,267.00 = 2,324.46/x
  3. Step 3: Cross multiply
    3,816.33x = 5,267.00 × 2,324.46
  4. Step 4: Simplify right side
    3,816.33x = 12,242,956.38
  5. Step 5: Solve for x
    x = 12,242,956.38/3,816.33
  6. Step 6: Final answer
    x = 3,208.04

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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.