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Finding the Fourth Proportional to 5,211.86, 7,822.14 and 4,883.43

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Solution

The fourth proportional to 5,211.86, 7,822.14 and 4,883.43 is: 7,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.86 : 7,822.14 = 4,883.43 : x
  2. Step 2: Convert to fraction form
    5,211.86/7,822.14 = 4,883.43/x
  3. Step 3: Cross multiply
    5,211.86x = 7,822.14 × 4,883.43
  4. Step 4: Simplify right side
    5,211.86x = 38,198,873.14
  5. Step 5: Solve for x
    x = 38,198,873.14/5,211.86
  6. Step 6: Final answer
    x = 7,329.23

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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.