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Finding the Fourth Proportional to 3,873.92, 5,346.04 and 2,105.54

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Solution

The fourth proportional to 3,873.92, 5,346.04 and 2,105.54 is: 2,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.92 : 5,346.04 = 2,105.54 : x
  2. Step 2: Convert to fraction form
    3,873.92/5,346.04 = 2,105.54/x
  3. Step 3: Cross multiply
    3,873.92x = 5,346.04 × 2,105.54
  4. Step 4: Simplify right side
    3,873.92x = 11,256,301.06
  5. Step 5: Solve for x
    x = 11,256,301.06/3,873.92
  6. Step 6: Final answer
    x = 2,905.66

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1.5x scale

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.