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Finding the Fourth Proportional to 5,817.50, 8,029.24 and 3,333.50

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Solution

The fourth proportional to 5,817.50, 8,029.24 and 3,333.50 is: 4,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.50 : 8,029.24 = 3,333.50 : x
  2. Step 2: Convert to fraction form
    5,817.50/8,029.24 = 3,333.50/x
  3. Step 3: Cross multiply
    5,817.50x = 8,029.24 × 3,333.50
  4. Step 4: Simplify right side
    5,817.50x = 26,765,471.54
  5. Step 5: Solve for x
    x = 26,765,471.54/5,817.50
  6. Step 6: Final answer
    x = 4,600.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.