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Finding the Fourth Proportional to 5,223.87, 7,836.24 and 1,328.25

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Solution

The fourth proportional to 5,223.87, 7,836.24 and 1,328.25 is: 1,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.87 : 7,836.24 = 1,328.25 : x
  2. Step 2: Convert to fraction form
    5,223.87/7,836.24 = 1,328.25/x
  3. Step 3: Cross multiply
    5,223.87x = 7,836.24 × 1,328.25
  4. Step 4: Simplify right side
    5,223.87x = 10,408,485.78
  5. Step 5: Solve for x
    x = 10,408,485.78/5,223.87
  6. Step 6: Final answer
    x = 1,992.49

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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.