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Finding the Fourth Proportional to 5,882.92, 8,121.90 and 3,759.64

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Solution

The fourth proportional to 5,882.92, 8,121.90 and 3,759.64 is: 5,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.92 : 8,121.90 = 3,759.64 : x
  2. Step 2: Convert to fraction form
    5,882.92/8,121.90 = 3,759.64/x
  3. Step 3: Cross multiply
    5,882.92x = 8,121.90 × 3,759.64
  4. Step 4: Simplify right side
    5,882.92x = 30,535,420.12
  5. Step 5: Solve for x
    x = 30,535,420.12/5,882.92
  6. Step 6: Final answer
    x = 5,190.52

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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.