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Finding the Fourth Proportional to 3,937.94, 5,906.45 and 1,016.01

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Solution

The fourth proportional to 3,937.94, 5,906.45 and 1,016.01 is: 1,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.94 : 5,906.45 = 1,016.01 : x
  2. Step 2: Convert to fraction form
    3,937.94/5,906.45 = 1,016.01/x
  3. Step 3: Cross multiply
    3,937.94x = 5,906.45 × 1,016.01
  4. Step 4: Simplify right side
    3,937.94x = 6,001,007.18
  5. Step 5: Solve for x
    x = 6,001,007.18/3,937.94
  6. Step 6: Final answer
    x = 1,523.90

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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.