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Finding the Fourth Proportional to 3,979.72, 5,971.74 and 3,834.28

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Solution

The fourth proportional to 3,979.72, 5,971.74 and 3,834.28 is: 5,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.72 : 5,971.74 = 3,834.28 : x
  2. Step 2: Convert to fraction form
    3,979.72/5,971.74 = 3,834.28/x
  3. Step 3: Cross multiply
    3,979.72x = 5,971.74 × 3,834.28
  4. Step 4: Simplify right side
    3,979.72x = 22,897,323.25
  5. Step 5: Solve for x
    x = 22,897,323.25/3,979.72
  6. Step 6: Final answer
    x = 5,753.50

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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.