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Finding the Fourth Proportional to 3,971.76, 5,480.64 and 2,293.32

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Solution

The fourth proportional to 3,971.76, 5,480.64 and 2,293.32 is: 3,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.76 : 5,480.64 = 2,293.32 : x
  2. Step 2: Convert to fraction form
    3,971.76/5,480.64 = 2,293.32/x
  3. Step 3: Cross multiply
    3,971.76x = 5,480.64 × 2,293.32
  4. Step 4: Simplify right side
    3,971.76x = 12,568,861.32
  5. Step 5: Solve for x
    x = 12,568,861.32/3,971.76
  6. Step 6: Final answer
    x = 3,164.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.