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Finding the Fourth Proportional to 3,995.52, 5,996.16 and 2,263.68

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Solution

The fourth proportional to 3,995.52, 5,996.16 and 2,263.68 is: 3,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.52 : 5,996.16 = 2,263.68 : x
  2. Step 2: Convert to fraction form
    3,995.52/5,996.16 = 2,263.68/x
  3. Step 3: Cross multiply
    3,995.52x = 5,996.16 × 2,263.68
  4. Step 4: Simplify right side
    3,995.52x = 13,573,387.47
  5. Step 5: Solve for x
    x = 13,573,387.47/3,995.52
  6. Step 6: Final answer
    x = 3,397.15

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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.