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Finding the Fourth Proportional to 5,996, 8,995.44 and 1,892

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Solution

The fourth proportional to 5,996, 8,995.44 and 1,892 is: 2,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 8,995.44 = 1,892 : x
  2. Step 2: Convert to fraction form
    5,996/8,995.44 = 1,892/x
  3. Step 3: Cross multiply
    5,996x = 8,995.44 × 1,892
  4. Step 4: Simplify right side
    5,996x = 17,019,372.48
  5. Step 5: Solve for x
    x = 17,019,372.48/5,996
  6. Step 6: Final answer
    x = 2,838.45

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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.