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Finding the Fourth Proportional to 5,299.54, 7,934.19 and 4,205.50

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Solution

The fourth proportional to 5,299.54, 7,934.19 and 4,205.50 is: 6,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.54 : 7,934.19 = 4,205.50 : x
  2. Step 2: Convert to fraction form
    5,299.54/7,934.19 = 4,205.50/x
  3. Step 3: Cross multiply
    5,299.54x = 7,934.19 × 4,205.50
  4. Step 4: Simplify right side
    5,299.54x = 33,367,236.05
  5. Step 5: Solve for x
    x = 33,367,236.05/5,299.54
  6. Step 6: Final answer
    x = 6,296.25

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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.