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Finding the Fourth Proportional to 3,996.50, 5,996.47 and 2,145.45

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Solution

The fourth proportional to 3,996.50, 5,996.47 and 2,145.45 is: 3,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.50 : 5,996.47 = 2,145.45 : x
  2. Step 2: Convert to fraction form
    3,996.50/5,996.47 = 2,145.45/x
  3. Step 3: Cross multiply
    3,996.50x = 5,996.47 × 2,145.45
  4. Step 4: Simplify right side
    3,996.50x = 12,865,113.98
  5. Step 5: Solve for x
    x = 12,865,113.98/3,996.50
  6. Step 6: Final answer
    x = 3,219.10

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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.