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Finding the Fourth Proportional to 5,162.64, 7,736.92 and 2,383.20

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Solution

The fourth proportional to 5,162.64, 7,736.92 and 2,383.20 is: 3,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.64 : 7,736.92 = 2,383.20 : x
  2. Step 2: Convert to fraction form
    5,162.64/7,736.92 = 2,383.20/x
  3. Step 3: Cross multiply
    5,162.64x = 7,736.92 × 2,383.20
  4. Step 4: Simplify right side
    5,162.64x = 18,438,627.74
  5. Step 5: Solve for x
    x = 18,438,627.74/5,162.64
  6. Step 6: Final answer
    x = 3,571.55

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1.5x scale

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.