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Finding the Fourth Proportional to 3,998.64, 5,996.80 and 1,533.28

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Solution

The fourth proportional to 3,998.64, 5,996.80 and 1,533.28 is: 2,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.64 : 5,996.80 = 1,533.28 : x
  2. Step 2: Convert to fraction form
    3,998.64/5,996.80 = 1,533.28/x
  3. Step 3: Cross multiply
    3,998.64x = 5,996.80 × 1,533.28
  4. Step 4: Simplify right side
    3,998.64x = 9,194,773.50
  5. Step 5: Solve for x
    x = 9,194,773.50/3,998.64
  6. Step 6: Final answer
    x = 2,299.48

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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.