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Finding the Fourth Proportional to 3,937.67, 5,906.53 and 1,016.00

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Solution

The fourth proportional to 3,937.67, 5,906.53 and 1,016.00 is: 1,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.67 : 5,906.53 = 1,016.00 : x
  2. Step 2: Convert to fraction form
    3,937.67/5,906.53 = 1,016.00/x
  3. Step 3: Cross multiply
    3,937.67x = 5,906.53 × 1,016.00
  4. Step 4: Simplify right side
    3,937.67x = 6,001,053.06
  5. Step 5: Solve for x
    x = 6,001,053.06/3,937.67
  6. Step 6: Final answer
    x = 1,524.01

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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.