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Finding the Fourth Proportional to 3,982.34, 5,496.46 and 2,303.54

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Solution

The fourth proportional to 3,982.34, 5,496.46 and 2,303.54 is: 3,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.34 : 5,496.46 = 2,303.54 : x
  2. Step 2: Convert to fraction form
    3,982.34/5,496.46 = 2,303.54/x
  3. Step 3: Cross multiply
    3,982.34x = 5,496.46 × 2,303.54
  4. Step 4: Simplify right side
    3,982.34x = 12,661,315.47
  5. Step 5: Solve for x
    x = 12,661,315.47/3,982.34
  6. Step 6: Final answer
    x = 3,179.37

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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.