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Finding the Fourth Proportional to 3,996.64, 5,982 and 3,564.64

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Solution

The fourth proportional to 3,996.64, 5,982 and 3,564.64 is: 5,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.64 : 5,982 = 3,564.64 : x
  2. Step 2: Convert to fraction form
    3,996.64/5,982 = 3,564.64/x
  3. Step 3: Cross multiply
    3,996.64x = 5,982 × 3,564.64
  4. Step 4: Simplify right side
    3,996.64x = 21,323,676.48
  5. Step 5: Solve for x
    x = 21,323,676.48/3,996.64
  6. Step 6: Final answer
    x = 5,335.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.