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Finding the Fourth Proportional to 3,996.64, 5,984.70 and 2,762.35

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Solution

The fourth proportional to 3,996.64, 5,984.70 and 2,762.35 is: 4,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.64 : 5,984.70 = 2,762.35 : x
  2. Step 2: Convert to fraction form
    3,996.64/5,984.70 = 2,762.35/x
  3. Step 3: Cross multiply
    3,996.64x = 5,984.70 × 2,762.35
  4. Step 4: Simplify right side
    3,996.64x = 16,531,836.05
  5. Step 5: Solve for x
    x = 16,531,836.05/3,996.64
  6. Step 6: Final answer
    x = 4,136.43

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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.