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Finding the Fourth Proportional to 5,892.94, 8,824.81 and 3,420.26

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Solution

The fourth proportional to 5,892.94, 8,824.81 and 3,420.26 is: 5,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.94 : 8,824.81 = 3,420.26 : x
  2. Step 2: Convert to fraction form
    5,892.94/8,824.81 = 3,420.26/x
  3. Step 3: Cross multiply
    5,892.94x = 8,824.81 × 3,420.26
  4. Step 4: Simplify right side
    5,892.94x = 30,183,121.86
  5. Step 5: Solve for x
    x = 30,183,121.86/5,892.94
  6. Step 6: Final answer
    x = 5,121.92

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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.