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Finding the Fourth Proportional to 3,971.07, 5,956.83 and 1,049.31

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Solution

The fourth proportional to 3,971.07, 5,956.83 and 1,049.31 is: 1,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.07 : 5,956.83 = 1,049.31 : x
  2. Step 2: Convert to fraction form
    3,971.07/5,956.83 = 1,049.31/x
  3. Step 3: Cross multiply
    3,971.07x = 5,956.83 × 1,049.31
  4. Step 4: Simplify right side
    3,971.07x = 6,250,561.29
  5. Step 5: Solve for x
    x = 6,250,561.29/3,971.07
  6. Step 6: Final answer
    x = 1,574.02

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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.