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Finding the Fourth Proportional to 5,763.60, 8,650.80 and 4,942.80

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Solution

The fourth proportional to 5,763.60, 8,650.80 and 4,942.80 is: 7,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.60 : 8,650.80 = 4,942.80 : x
  2. Step 2: Convert to fraction form
    5,763.60/8,650.80 = 4,942.80/x
  3. Step 3: Cross multiply
    5,763.60x = 8,650.80 × 4,942.80
  4. Step 4: Simplify right side
    5,763.60x = 42,759,174.24
  5. Step 5: Solve for x
    x = 42,759,174.24/5,763.60
  6. Step 6: Final answer
    x = 7,418.83

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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.