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Finding the Fourth Proportional to 5,338.50, 8,008.83 and 2,260.50

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Solution

The fourth proportional to 5,338.50, 8,008.83 and 2,260.50 is: 3,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.50 : 8,008.83 = 2,260.50 : x
  2. Step 2: Convert to fraction form
    5,338.50/8,008.83 = 2,260.50/x
  3. Step 3: Cross multiply
    5,338.50x = 8,008.83 × 2,260.50
  4. Step 4: Simplify right side
    5,338.50x = 18,103,960.22
  5. Step 5: Solve for x
    x = 18,103,960.22/5,338.50
  6. Step 6: Final answer
    x = 3,391.21

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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.