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Finding the Fourth Proportional to 5,839.22, 8,752.19 and 5,135.05

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Solution

The fourth proportional to 5,839.22, 8,752.19 and 5,135.05 is: 7,696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.22 : 8,752.19 = 5,135.05 : x
  2. Step 2: Convert to fraction form
    5,839.22/8,752.19 = 5,135.05/x
  3. Step 3: Cross multiply
    5,839.22x = 8,752.19 × 5,135.05
  4. Step 4: Simplify right side
    5,839.22x = 44,942,906.22
  5. Step 5: Solve for x
    x = 44,942,906.22/5,839.22
  6. Step 6: Final answer
    x = 7,696.73

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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.