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Finding the Fourth Proportional to 3,912.36, 5,841.06 and 2,982.96

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Solution

The fourth proportional to 3,912.36, 5,841.06 and 2,982.96 is: 4,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.36 : 5,841.06 = 2,982.96 : x
  2. Step 2: Convert to fraction form
    3,912.36/5,841.06 = 2,982.96/x
  3. Step 3: Cross multiply
    3,912.36x = 5,841.06 × 2,982.96
  4. Step 4: Simplify right side
    3,912.36x = 17,423,648.34
  5. Step 5: Solve for x
    x = 17,423,648.34/3,912.36
  6. Step 6: Final answer
    x = 4,453.49

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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.