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Finding the Fourth Proportional to 3,997.47, 5,996.62 and 1,534.35

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Solution

The fourth proportional to 3,997.47, 5,996.62 and 1,534.35 is: 2,301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.47 : 5,996.62 = 1,534.35 : x
  2. Step 2: Convert to fraction form
    3,997.47/5,996.62 = 1,534.35/x
  3. Step 3: Cross multiply
    3,997.47x = 5,996.62 × 1,534.35
  4. Step 4: Simplify right side
    3,997.47x = 9,200,910.06
  5. Step 5: Solve for x
    x = 9,200,910.06/3,997.47
  6. Step 6: Final answer
    x = 2,301.68

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1.5x scale

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.