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Finding the Fourth Proportional to 5,223.50, 7,826.11 and 4,351.59

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Solution

The fourth proportional to 5,223.50, 7,826.11 and 4,351.59 is: 6,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.50 : 7,826.11 = 4,351.59 : x
  2. Step 2: Convert to fraction form
    5,223.50/7,826.11 = 4,351.59/x
  3. Step 3: Cross multiply
    5,223.50x = 7,826.11 × 4,351.59
  4. Step 4: Simplify right side
    5,223.50x = 34,055,961.13
  5. Step 5: Solve for x
    x = 34,055,961.13/5,223.50
  6. Step 6: Final answer
    x = 6,519.77

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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.