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Finding the Fourth Proportional to 5,157.92, 7,736.82 and 3,575.20

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Solution

The fourth proportional to 5,157.92, 7,736.82 and 3,575.20 is: 5,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.92 : 7,736.82 = 3,575.20 : x
  2. Step 2: Convert to fraction form
    5,157.92/7,736.82 = 3,575.20/x
  3. Step 3: Cross multiply
    5,157.92x = 7,736.82 × 3,575.20
  4. Step 4: Simplify right side
    5,157.92x = 27,660,678.86
  5. Step 5: Solve for x
    x = 27,660,678.86/5,157.92
  6. Step 6: Final answer
    x = 5,362.76

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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.