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Finding the Fourth Proportional to 5,892.24, 8,122.78 and 3,899.46

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Solution

The fourth proportional to 5,892.24, 8,122.78 and 3,899.46 is: 5,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.24 : 8,122.78 = 3,899.46 : x
  2. Step 2: Convert to fraction form
    5,892.24/8,122.78 = 3,899.46/x
  3. Step 3: Cross multiply
    5,892.24x = 8,122.78 × 3,899.46
  4. Step 4: Simplify right side
    5,892.24x = 31,674,455.70
  5. Step 5: Solve for x
    x = 31,674,455.70/5,892.24
  6. Step 6: Final answer
    x = 5,375.62

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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.